Existence theorems for the dbar equation and Sobolev estimates on $ q $-convex domains

Συγγραφείς: Haroun Doud Soliman Adam, Khalid Ibrahim Adam, Sayed Saber, Ghulam Farid

Πηγή: AIMS Mathematics, Vol 8, Iss 12, Pp 31141-31157 (2023)

Θεματικοί όροι: QA1-939, Mathematics, $ \overline\partial $ and $ \overline\partial $-neumann operator, weakly $ q $-convex domains

Σύνδεσμος πρόσβασης: https://doaj.org/article/e12ab1c8478f4ad2aff13614d30fac4d

Existence theorems for the dbar equation and Sobolev estimates on q-convex domains

Συγγραφείς: Haroun Doud Soliman Adam, Khalid Ibrahim Adam, Sayed Saber, Ghulam Farid

Πηγή: AIMS Mathematics, Vol 8, Iss 12, Pp 31141-31157 (2023)

Θεματικοί όροι: $ \overline\partial $ and $ \overline\partial $-neumann operator, weakly $ q $-convex domains, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: https://doaj.org/toc/2473-6988

Σύνδεσμος πρόσβασης: https://doaj.org/article/e12ab1c8478f4ad2aff13614d30fac4d

Sufficient condition for compactness of the \overline{∂}-Neumann operator using the Levi core: Sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator using the Levi core

Συγγραφείς: Treuer, John N.

Πηγή: Proceedings of the American Mathematical Society.

Θεματικοί όροι: Levi core, compact, Mathematics - Complex Variables, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline{\partial}\)-Neumann operator, 01 natural sciences, pseudoconvex

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2209.01162
https://zbmath.org/7783140
https://doi.org/10.1090/proc/16649

Compactness of commutators of Toeplitz operators on q-pseudoconvex domains

Συγγραφείς: Sayed Saber

Πηγή: Electronic Journal of Differential Equations, Vol 2018, Iss 111,, Pp 1-17 (2018)

Θεματικοί όροι: \overline\partial, and, \overline\partial-Neumann operator, Bergman-Toeplitz operator, q-convex domains, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: http://ejde.math.txstate.edu/Volumes/2018/111/abstr.html; https://doaj.org/toc/1072-6691

Σύνδεσμος πρόσβασης: https://doaj.org/article/49bebcff8f44489e8e281c730cab4cec

Geometric conditions which imply compactness of the ${\overline\partial}$-Neumann operator: Geometric conditions which imply compactness of the \({\overline\partial}\)-Neumann operator.

Συγγραφείς: Emil J. Straube

Πηγή: Annales de l’institut Fourier. 54:699-710

Θεματικοί όροι: \({\overline\partial}\)-Neumann operator, 0103 physical sciences, compactness, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, geometric conditions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.numdam.org/item/10.5802/aif.2030.pdf
https://zbmath.org/2123579
https://doi.org/10.5802/aif.2030
https://aif.centre-mersenne.org/item/10.5802/aif.2030.pdf
http://www.numdam.org/item/AIF_2004__54_3_699_0/
https://eudml.org/doc/116123
https://aif.centre-mersenne.org/articles/10.5802/aif.2030/

The L $$\overline \partial $$-Cauchy problem on weakly ² $$\overline \partial $$-Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds

Συγγραφείς: Saber, Sayed

Πηγή: Czechoslovak Mathematical Journal. September 2015 65(3):739-745

Zero varieties for the Nevanlinna class on all convex domains of finite type

Συγγραφείς: Diederich, Klas, Mazzilli, Emmanuel

Πηγή: Nagoya Math. J. 163 (2001), 215-227

Θεματικοί όροι: 32W05, Zero sets of holomorphic functions of several complex variables, 32F32, convex domain of finite type, 32A22, 01 natural sciences, \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Nevanlinna class, Blaschke condition, Analytical consequences of geometric convexity (vanishing theorems, etc.), 32T25, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline\partial\)-Neumann operator

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/390A3234AA0AD312A0DCECFB4AD4A918/S0027763000007972a.pdf/div-class-title-zero-varieties-for-the-nevanlinna-class-on-all-convex-domains-of-finite-type-div.pdf
https://zbmath.org/1690812
https://doi.org/10.1017/s0027763000007972
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/390A3234AA0AD312A0DCECFB4AD4A918/S0027763000007972a.pdf/div-class-title-zero-varieties-for-the-nevanlinna-class-on-all-convex-domains-of-finite-type-div.pdf
https://projecteuclid.org/euclid.nmj/1114631627
https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/zero-varieties-for-the-nevanlinna-class-on-all-convex-domains-of-finite-type/390A3234AA0AD312A0DCECFB4AD4A918
http://ci.nii.ac.jp/naid/110000023685
https://projecteuclid.org/download/pdf_1/euclid.nmj/1114631627
http://projecteuclid.org/euclid.nmj/1114631627

Pseudolocal estimates for bar partial on general pseudoconvex domains: Pseudolocal estimates for \(\overline\partial\) on general pseudoconvex domains.

Συγγραφείς: Miroslav Englis

Πηγή: Indiana University Mathematics Journal. 50:1593-1608

Θεματικοί όροι: pseudolocal estimates, Finite-type domains, Strongly pseudoconvex domains, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline\partial\)-Neumann operator, Bergman kernel, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=2085&year=2001&volume=50

The $$\overline \partial $$-Neumann operator on Lipschitz q-pseudoconvex domains

Συγγραφείς: Saber, Sayed

Πηγή: Czechoslovak Mathematical Journal. September 2011 61(3):721-731

The $\overline\partial$-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions: The \(\overline\partial\)-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions

Συγγραφείς: Michel, Joachim, Shaw, Mei-Chi

Πηγή: Duke Math. J. 108, no. 3 (2001), 421-447

Θεματικοί όροι: 32W05, 35N15, canonical Kohn solution operator, Plurisubharmonic exhaustion functions, 32U10, bounded pseudoconvex Lipschitz domain in \(\mathbb{C}^n\), \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, plurisubharmonic Lipschitz defining function, \(\overline\partial\)-Neumann operator, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://projecteuclid.org/euclid.dmj/1091737180

Subelliptic estimates for the $\overline{\partial}$ -Neumann operator on piecewise smooth strictly pseudoconvex domains: Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains

Συγγραφείς: Michel, Joachim, Shaw, Mei-Chi

Πηγή: Duke Math. J. 93, no. 1 (1998), 115-128

Θεματικοί όροι: subelliptic estimates, 35N15, \(\overline \partial \)-Neumann operator, 35H05, piecewise smooth strictly pseudoconvex domains, 32F20, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, \(\overline\partial\) and \(\overline\partial\)-Neumann operators

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://projecteuclid.org/euclid.dmj/1077230638

The L^{2}\bar{\partial } -Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds

Συγγραφείς: Saber, Sayed

Θεματικοί όροι: matematika, mathematics, \overline \partial operator, q-convex domain, Stein manifold, \overline \partial -Neumann operator

Θέμα γεωγραφικό: 739-745

Time: 13, 51

Περιγραφή αρχείου: print; média; svazek

Relation: https://kramerius.lib.cas.cz/view/uuid:7ec34c9f-a5da-4ae5-9448-fb5b5678039d

Διαθεσιμότητα: https://kramerius.lib.cas.cz/view/uuid:7ec34c9f-a5da-4ae5-9448-fb5b5678039d

Compactness of the \(\bar \partial\)-Neumann operator

Συγγραφείς: Krantz, Steven G.

Θεματικοί όροι: Reinhardt domain, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline\partial\)-Neumann operator

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3007

Compactness of the canonical solution operator of \(\bar\partial\) on bounded pseudoconvex domains

Συγγραφείς: Knirsch, Wolfgang

Θεματικοί όροι: Bergman spaces of functions in several complex variables, Toeplitz operators, Hankel operators, Wiener-Hopf operators, d-bar equation, Bergman-Toeplitz operators, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline\partial\)-Neumann operator, canonical solution operator, \((0,q)\)-forms with holomorphic coefficients

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1848362

Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect

Συγγραφείς: Christ, Michael, Fu, Siqi

Θεματικοί όροι: condition (P), \(\overline \partial\)-Neumann operator, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Schrödinger operators

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2217899

Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains

Συγγραφείς: Fu, Siqi, Straube, Emil J.

Θεματικοί όροι: \((0,q)\)-forms, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline\partial\)-Neumann operator, bounded convex domain, solution operator for \(\overline\partial\)-problem

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1268059

Global \(C^{\infty}\) irregularity of the \(\bar \partial\)--Neumann problem for worm domains

Συγγραφείς: Christ, Michael

Θεματικοί όροι: global \(C^\infty\) irregularity, Bergman projection, worm domain, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, \(\overline\partial\)-Neumann operator

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/957023