Toeplitz operators with symbols invariant under the action of a subgroup of the nilpotent group on the Siegel domain $$D_{2}$$: Toeplitz operators with symbols invariant under the action of a subgroup of the nilpotent group on the Siegel domain \(D_2\)

Authors: Sánchez-Nungaray, Armando, Vasilevski, Nikolai

Source: Boletín de la Sociedad Matemática Mexicana. 31

Subject Terms: Bergman spaces, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman spaces of functions in several complex variables, direct integral, Set-valued set functions and measures, integration of set-valued functions, measurable selections, Siegel domain, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Toeplitz operators

File Description: application/xml

Access URL: https://zbmath.org/8037495
https://doi.org/10.1007/s40590-025-00752-6

Compact difference of composition operators with smooth symbols on the polydisks

Authors: Lian Hu, Hyungwoon Koo

Source: Banach Journal of Mathematical Analysis. 19

Subject Terms: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, compact, Lipschitz symbol, Linear composition operators, difference, Bergman spaces of functions in several complex variables, composition operator, polydisk

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Access URL: https://zbmath.org/8036310
https://doi.org/10.1007/s43037-025-00417-6

Essential norm of Hankel operators on weighted Bergman spaces of strongly pseudoconvex domains

Authors: Zeng, Zhicheng, Wang, Xiaofeng, Xia, Jin

Source: Annals of Functional Analysis. 16

Subject Terms: Hankel operator, essential norm, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman spaces of functions in several complex variables, weighted Bergman space

File Description: application/xml

Access URL: https://zbmath.org/7978657
https://doi.org/10.1007/s43034-024-00403-3

$$L^{\vec {p}}-L^{\vec {q}}$$ boundedness of multiparameter Forelli–Rudin type operators on the product of unit balls of $${\mathbb {C}}^n$$: \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\)

Authors: Huang, Long, Wang, Xiaofeng, Zeng, Zhicheng

Source: Mathematische Zeitschrift. 306

Subject Terms: Berezin transform, mixed-norm Lebesgue space, Schur's test, Harmonic analysis in several variables, Mathematics - Complex Variables, Linear operators on function spaces (general), Forelli-Rudin type operator, Bergman spaces of functions in several complex variables, FOS: Mathematics, \(L^{{\vec{p}}}-L^{{\vec{q}}}\) boundedness, Bergman projection, Complex Variables (math.CV), Function spaces arising in harmonic analysis

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Access URL: http://arxiv.org/abs/2304.04942
https://zbmath.org/7819892
https://doi.org/10.1007/s00209-024-03459-y

The Friedrichs operator and circular domains

Authors: Ravisankar, Sivaguru, Roy, Samriddho

Source: Proceedings of the American Mathematical Society.

Subject Terms: circular domain, symmetrized polydisc, Mathematics - Complex Variables, Bergman spaces of functions in several complex variables, Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds, tetrablock, 32A36 32Q02 (Primary), 93D21 (Secondary), 01 natural sciences, Friedrichs operator, Functional Analysis (math.FA), Mathematics - Functional Analysis, Optimization and Control (math.OC), FOS: Mathematics, Bergman space, 0101 mathematics, Complex Variables (math.CV), Mathematics - Optimization and Control, pentablock

File Description: application/xml

Access URL: http://arxiv.org/abs/2211.02689

Algebra generated by Toeplitz operators with $${\mathbb {T}}$$-invariant symbols: Algebra generated by Toeplitz operators with \(\mathbb{T} \)-invariant symbols

Authors: Nikolai Vasilevski

Source: Boletín de la Sociedad Matemática Mexicana. 26:1217-1242

Subject Terms: Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman spaces of functions in several complex variables, Bergman space, 0101 mathematics, \(\mathbb{T} \)-invariant symbol, 01 natural sciences, Toeplitz operators

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Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=7672240
https://link.springer.com/article/10.1007/s40590-020-00306-y

Bergman kernel and projection on the unbounded Diederich-Fornæss worm domain

Authors: Krantz, Steven G., Peloso, Marco M., STOPPATO, CATERINA

Source: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :1153-1183

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, 14. Life underwater, Complex Variables (math.CV), 0101 mathematics, 15. Life on land, 16. Peace & justice, 01 natural sciences, 7. Clean energy, 32A25, 32A36, 32T20, 32A25 Integral representations, canonical kernels, 32A36 Bergman spaces of functions in several complex variables, 32T20 Worm domains

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http://arxiv.org/abs/1410.8490
https://dialnet.unirioja.es/servlet/articulo?codigo=5811594
https://journals.sns.it/index.php/annaliscienze/article/view/479
https://flore.unifi.it/handle/2158/1038168
https://air.unimi.it/handle/2434/468936
https://arxiv.org/abs/1410.8490
https://arxiv.org/pdf/1410.8490.pdf
http://ui.adsabs.harvard.edu/abs/2014arXiv1410.8490K/abstract

WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES: Weighted harmonic Bergman functions on half-spaces

Authors: Heungsu Yi, Hyungwoon Koo, Kyesook Nam

Source: Journal of the Korean Mathematical Society. 42:975-1002

Subject Terms: Integral representations, integral operators, integral equations methods in higher dimensions, weighted harmonic Bergman function, Bergman spaces of functions in several complex variables, fractional derivative, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, weighted Bergman kernel, upper half-space

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Access URL: http://www.ndsl.kr/soc_img/society/kms/DBSHBB/2005/v42n5/DBSHBB_2005_v42n5_975.pdf
https://koreauniv.pure.elsevier.com/en/publications/weighted-harmonic-bergman-functions-on-half-spaces
http://dspace.kci.go.kr/handle/kci/191676
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2005_v42n5_975

Holomorphic Jackson's theorems in polydiscs

Authors: Mingzhi Wang, Guangbin Ren

Source: Journal of Approximation Theory. 134:175-198

Subject Terms: Mathematics(all), Polynomial approximation, Bergman-type space, polydisc, Bergman spaces of functions in several complex variables, Multidimensional problems, Hardy space, polydisc algebra, 01 natural sciences, Jackson-type inequality, \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Modulus of continuity, modulus of continuity, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Numerical Analysis, Applied Mathematics, Sobolev space, Lipschitz space, modulus of smoothness, generalized Jackson's kernel, Bergman spaces, Jackson's theorem, polynomial approximation, Bergman space, Analysis, Algebras of holomorphic functions of several complex variables

File Description: application/xml

Access URL: https://zbmath.org/2183805
https://doi.org/10.1016/j.jat.2005.02.005
https://dblp.uni-trier.de/db/journals/jat/jat134.html#RenW05
https://www.sciencedirect.com/science/article/pii/S0021904505000481
https://www.sciencedirect.com/science/article/abs/pii/S0021904505000481
https://core.ac.uk/display/82289213

Strongly Exposed Points in the Ball of the Bergman Space: Strongly exposed points in the ball of the Bergman space

Authors: Beneker, P.R., Wiegerinck, J.J.O.O.

Source: Integral Equations and Operator Theory. 52:45-60

Subject Terms: 0301 basic medicine, Mathematics - Complex Variables, Bergman spaces of functions in several complex variables, extreme, exposed and strongly exposed points, 01 natural sciences, normalized polynomials, 30A78, Functional Analysis (math.FA), Mathematics - Functional Analysis, 03 medical and health sciences, 46E15, Bloch space, Banach spaces of continuous, differentiable or analytic functions, annihilator of Bergman space, FOS: Mathematics, Bergman projection, 0101 mathematics, Complex Variables (math.CV)

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0208234
http://arxiv.org/abs/math/0208234
https://zbmath.org/2176180
https://doi.org/10.1007/s00020-003-1271-7
https://dare.uva.nl/personal/pure/en/publications/strongly-exposed-points-in-the-ball-of-the-bergman-space(68c386ce-5e0d-4d9d-94dd-88fb29c53905).html
https://doi.org/10.1007/s00020-003-1271-7
https://hdl.handle.net/11245/1.238162
https://link.springer.com/content/pdf/10.1007/s00020-003-1271-7.pdf
https://dare.uva.nl/record/1/238162
https://link.springer.com/article/10.1007/s00020-003-1271-7
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F68c386ce-5e0d-4d9d-94dd-88fb29c53905
https://core.ac.uk/display/85888231
https://ui.adsabs.harvard.edu/abs/2002math......8234B/abstract

Commuting dual Toeplitz operators with pluriharmonic symbols

Authors: Yufeng Lu

Source: Journal of Mathematical Analysis and Applications. 302:149-156

Subject Terms: Holomorphic, Dual Toeplitz operator, Applied Mathematics, Bergman spaces of functions in several complex variables, pluriharmonic symbols, 01 natural sciences, Pluriharmonic and plurisubharmonic functions, Pluriharmonic, Bergman spaces, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman space, 0101 mathematics, dual Toeplitz operators, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2136275
https://doi.org/10.1016/j.jmaa.2004.07.046
http://ui.adsabs.harvard.edu/abs/2005JMAA..302..149L/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X04006547
https://core.ac.uk/display/81940131
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04006547

Non‐compactness of the solution operator to $ \bar \partial $ on the Fock‐space in several dimensions: Non-compactness of the solution operator to \(\overline{\partial}\) on the Fock-space in several dimensions

Authors: Georg Schneider

Source: Mathematische Nachrichten. 278:312-317

Subject Terms: 1010 Mathematics, Hankel operator, 1010 Mathematik, \(\overline{\partial}\)-Neumann problem, Bergman spaces of functions in several complex variables, Toeplitz operators, Hankel operators, Wiener-Hopf operators, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, Fock space

File Description: application/xml

Access URL: https://ucrisportal.univie.ac.at/de/publications/39bfde51-8a6f-4fcb-ae09-3f98fdf99639
https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310242

On boundary behaviour of the Bergman projection on pseudoconvex domains

Authors: M. Jasiczak

Source: Studia Mathematica. 166:243-261

Subject Terms: asymptotic expansion, Functional analysis techniques applied to functions of several complex variables, Integral representations, canonical kernels (Szegő, Bergman, etc.), Bergman spaces of functions in several complex variables, Boundary behavior of holomorphic functions of several complex variables, Spaces defined by inductive or projective limits (LB, LF, etc.), Strongly pseudoconvex domains, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences, weighted-sup seminorms

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89578?download.pdf
https://zbmath.org/2120166
https://doi.org/10.4064/sm166-3-3
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/166/3/89578/on-boundary-behaviour-of-the-bergman-projection-on-pseudoconvex-domains
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-3
https://www.impan.pl/shop/publication/transaction/download/product/89578?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/166/3/89578/on-boundary-behaviour-of-the-bergman-projection-on-pseudoconvex-domains

An unusual self-adjoint linear partial differential operator

Authors: Plum, Michael, Everitt, W. N., Markus, L.

Source: Transactions of the American Mathematical Society. 357:1303-1324

Subject Terms: ddc:510, Linear symmetric and selfadjoint operators (unbounded), Boundary value problems for higher-order elliptic equations, Bergman spaces of functions in several complex variables, General topics in linear spectral theory for PDEs, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, Mathematics, Boundary values of solutions to elliptic equations and elliptic systems

File Description: application/xml

Access URL: https://www.ams.org/tran/2005-357-04/S0002-9947-04-03719-5/S0002-9947-04-03719-5.pdf
https://zbmath.org/2125279
https://doi.org/10.1090/s0002-9947-04-03719-5
https://documat.unirioja.es/servlet/articulo?codigo=2202826
https://dialnet.unirioja.es/servlet/articulo?codigo=2202826
https://www.ams.org/tran/2005-357-04/S0002-9947-04-03719-5/S0002-9947-04-03719-5.pdf
https://www.ams.org/journals/tran/2005-357-04/S0002-9947-04-03719-5/home.html

Projections for harmonic Bergman spaces and applications

Authors: Boo Rim Choe, Hyungwoon Koo, Heungsu Yi

Source: Journal of Functional Analysis. 216:388-421

Subject Terms: Integral representations, integral operators, integral equations methods in higher dimensions, harmonic Bergman function, Gleason's problem, Banach spaces of continuous, differentiable or analytic functions, Bergman spaces of functions in several complex variables, Bloch functions, Harmonic Bergman function, Projection, Normal functions of one complex variable, normal families, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2134402
https://doi.org/10.1016/j.jfa.2004.02.014
https://koreauniv.pure.elsevier.com/en/publications/projections-for-harmonic-bergman-spaces-and-applications
https://www.sciencedirect.com/science/article/pii/S0022123604001193
https://core.ac.uk/display/82726147

Weighted Integrals of Holomorphic Functions on the Polydisc: Weighted integrals of holomorphic functions on the polydisc. II.

Authors: Stevo Stević

Source: Zeitschrift für Analysis und ihre Anwendungen. 23:577-587

Subject Terms: 0209 industrial biotechnology, Holomorphic functions of several complex variables, holomorphic function, polydisc, Bergman spaces of functions in several complex variables, 02 engineering and technology, 0101 mathematics, 01 natural sciences, 6. Clean water, weighted Bergman space

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=23&iss=4&rank=8
https://zbmath.org/2155008
https://doi.org/10.4171/zaa/1222
https://www.ems-ph.org/doi/10.4171/ZAA/1222
https://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=23&iss=4&rank=8

Littlewood–Paley decompositions related to symmetric cones and Bergman projections in tube domains: Littlewood-Paley decompositions related to symmetric cones and Bergman projections in tube domains

Authors: BEKOLLE' D, BONAMI A, GARRIGOS G, RICCI, Fulvio

Source: Proceedings of the London Mathematical Society. 89:317-360

Subject Terms: Besov spaces, Bergman spaces, Littlewood-Paley decomposition, Bergman spaces of functions in several complex variables, 0101 mathematics, Function spaces arising in harmonic analysis, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, tube domains, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2111359
https://doi.org/10.1112/s0024611504014765
http://onlinelibrary.wiley.com/doi/10.1112/S0024611504014765/abstract
https://academic.oup.com/plms/article/89/2/317/1544033
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611504014765
https://hal.archives-ouvertes.fr/hal-00087832
http://doi.wiley.com/10.1112/S0024611504014765
https://dialnet.unirioja.es/servlet/articulo?codigo=2211765

Approximation and symbolic calculus for Toeplitz algebras on the Bergman space

Authors: Suárez, Daniel

Source: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
Rev. Mat. Iberoamericana 20, no. 2 (2004), 563-610

Subject Terms: commutator ideal and abelianization, Toeplitz operator, COMMUTATOR IDEAL AND ABELIANIZATION, Bergman spaces of functions in several complex variables, Toeplitz operators, Hankel operators, Wiener-Hopf operators, 32A36, TOEPLITZ OPERATOR, Bergman space, 47B35, BERGMAN SPACE

File Description: application/xml; application/pdf

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=20&iss=2&rank=11
https://dialnet.unirioja.es/servlet/articulo?codigo=930992
https://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=20&iss=2&rank=11
https://ri.conicet.gov.ar/handle/11336/110173
https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-20/issue-2/Approximation-and-symbolic-calculus-for-Toeplitz-algebras-on-the-Bergman/rmi/1087482027.full
https://notablesdelaciencia.conicet.gov.ar/handle/11336/110173
https://www.ems-ph.org/doi/10.4171/RMI/401
http://hdl.handle.net/11336/110173
http://projecteuclid.org/euclid.rmi/1087482027

A Lipschitz estimate for Berezin’s operator calculus: A Lipschitz estimate for Berezin's operator calculus

Authors: L. A. Coburn

Source: Proceedings of the American Mathematical Society. 133:127-131

Subject Terms: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Segal-Bargmann space, Lipschitz function, Bergman spaces of functions in several complex variables, Bergman space, Berezin calculus, Berezin symbols, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/2005-133-01/S0002-9939-04-07476-3/S0002-9939-04-07476-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1084259
https://documat.unirioja.es/servlet/articulo?codigo=1084259
https://www.ams.org/proc/2005-133-01/S0002-9939-04-07476-3/S0002-9939-04-07476-3.pdf
https://www.ams.org/journals/proc/2005-133-01/S0002-9939-04-07476-3/

Extended Cesàro operators on Bergman spaces

Authors: Zhangjian Hu

Source: Journal of Mathematical Analysis and Applications. 296:435-454

Subject Terms: Banach spaces of continuous, differentiable or analytic functions, Applied Mathematics, Linear operators on function spaces (general), Bergman spaces of functions in several complex variables, Bergman space, Normal weight, extended Cesàro operator, 0101 mathematics, normal weight, 01 natural sciences, Cesàro operator, Analysis, weighted Bergman space

File Description: application/xml

Access URL: https://cdr.lib.unc.edu/concern/articles/1257b2896
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04001106
https://core.ac.uk/display/82456312
https://www.sciencedirect.com/science/article/pii/S0022247X04001106