Some aspects of Property for: Some aspects of Property \((P_q)\) for \(q>1\)

Authors: Yue Zhang

Source: Mathematische Nachrichten. 290:1119-1134

Subject Terms: fine topology, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 16. Peace & justice, pseudoconvex domains, 01 natural sciences, \(\bar \partial\)-Neumann operator

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https://zbmath.org/6737318
https://doi.org/10.1002/mana.201400402
https://ideas.repec.org/a/bla/mathna/v290y2017i7p1119-1134.html

Partial regularity for homogeneous complex Monge–Ampere equations: Partial regularity for homogeneous complex Monge-Ampère equations

Authors: Gang Tian, Xiuxiong Chen

Source: Comptes Rendus. Mathématique. 340:337-340

Subject Terms: Complex Monge-Ampère operators, almost smooth solution, partial regularity, Monge-Ampère equation, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, 01 natural sciences

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Access URL: https://www.sciencedirect.com/science/article/pii/S1631073X04005771

SOLUTIONS TO ${\bar\partial}$-EQUATION ON STRONGLY q-CONVEX DOMAINS WITH Lp-ESTIMATES: Solutions to \(\overline\partial\)-equation on strongly \(q\)-convex domains with \(L^p\)-estimates

Authors: Osama Abdelkader, Shaban Khidr

Source: International Journal of Geometric Methods in Modern Physics. :739-749

Subject Terms: \(\bar\partial\)-equation, \(q\)-convex, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, A priori estimates in context of PDEs, 01 natural sciences

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Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0219887804000368
http://ui.adsabs.harvard.edu/abs/2004IJGMM..01..739A/abstract

Green's Formulas in Complex Analysis: Green's formulas in complex analysis

Authors: Nikolai N. Tarkhanov, Alexander Shlapunov

Source: Journal of Mathematical Sciences. 120:1868-1900

Subject Terms: Cauchy problem, Dolbeault complex, CR structures, CR operators, and generalizations, Green's formulas, Differential complexes, Fredholm problem, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), 01 natural sciences

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https://doi.org/10.1023/b:joth.0000020708.24761.bb
https://link.springer.com/article/10.1023/B:JOTH.0000020708.24761.bb

Local solvability in corank one involutive real-analytic structures

Authors: Paulo D. Cordaro, Evandro Raimundo da Silva

Source: Indiana University Mathematics Journal. 53:1607-1630

Subject Terms: Linear first-order PDEs, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=2636&year=2004&volume=53

Analysis of the Kohn Laplacian on quadratic CR manifolds: Analysis of the Kohn Laplacian on quadratic CR manifolds.

Authors: PELOSO M., RICCI, Fulvio

Source: Journal of Functional Analysis. 203:321-355

Subject Terms: local solvability, Tangential Cauchy–Riemann complex, hypoellipticity, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, Local solvability, Analysis on CR manifolds, 01 natural sciences, Kohn Laplacian, Hypoellipticity, \(\overline\partial_b\) and \(\overline\partial_b\)-Neumann operators, nilpotent Lie group, tangential Cauchy-Riemann complex, CR manifolds, 0101 mathematics, Analysis

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https://doi.org/10.1016/s0022-1236(03)00176-9
https://www.mate.polimi.it/scuolaestiva/bibliografia/peloso_ricci2003.pdf
https://www.sciencedirect.com/science/article/pii/S0022123603001769
http://homepage.sns.it/fricci/papers/cr.pdf
https://iris.polito.it/handle/11583/1403967
https://ricerca.sns.it/handle/11384/1003
https://hdl.handle.net/2434/36208
https://doi.org/10.1016/S0022-1236(03)00176-9
https://hdl.handle.net/11583/1403967
https://hdl.handle.net/11384/1003
https://doi.org/10.1016/S0022-1236(03)00176-9

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD: A new formula without boundary integrals on a Stein manifold

Authors: Qiu, C. H.

Source: Acta Mathematica Scientia. 23:33-40

Subject Terms: Chern connection, \((p,q)\) differential forms, 4. Education, stein manifold, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 16. Peace & justice, non-smooth boundary, 01 natural sciences, integral kernels, Hermitian metric, Stein manifold, q) differential form, Koppelman-Leray-Norguet formula, (p, Stein manifolds, Integral representations, canonical kernels (Szegő, Bergman, etc.), Analytical consequences of geometric convexity (vanishing theorems, etc.), 0101 mathematics, strictly pseudoconvex polyhedron, nonsmooth boundary

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https://doi.org/10.1016/s0252-9602(17)30142-x
https://www.sciencedirect.com/science/article/pii/S025296021730142X

Duality by reproducing kernels

Authors: Shlapunov, Alexander, Tarkhanov, Nikolai Nikolaevich

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 6, Pp 327-395 (2003)

Subject Terms: ddc:510, abstract Neumann problems, Duality theory for topological vector spaces, Institut für Mathematik, QA1-939, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, 01 natural sciences, Mathematics

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Access URL: http://downloads.hindawi.com/journals/ijmms/2003/387058.pdf
https://doaj.org/article/2d6945675bdf4acf89cf3bf7659d3b01
https://www.emis.de/journals/HOA/IJMMS/Volume2003_6/387058.pdf
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/17946
https://www.hindawi.com/journals/ijmms/2003/387058/
https://downloads.hindawi.com/journals/ijmms/2003/387058.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume2003_6/395.pdf
https://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/2003/6327.pdf
https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26095
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2403
https://publishup.uni-potsdam.de/files/2403/2001_26.pdf

SOBOLEV ESTIMATES OF SOLUTIONS OF THE $\bar{\partial}$-NEUMANN PROBLEM ON PARAMETERS: Sobolev estimates of solutions of the \(\overline\partial\)-Neumann problem on parameters.

Authors: Sanghyun Cho

Source: International Journal of Mathematics. 13:1027-1042

Subject Terms: \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Cauchy-Riemann equations. Sobolev spaces, 01 natural sciences

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Access URL: http://www.worldscientific.com/doi/abs/10.1142/S0129167X02001587

The union problem on complex manifolds

Authors: Patrick W. Darko

Source: International Journal of Mathematics and Mathematical Sciences, Vol 30, Iss 10, Pp 621-625 (2002)

Subject Terms: \(L^2\)-estimates, Analytic sheaves and cohomology groups, QA1-939, Stein spaces, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, 01 natural sciences, Mathematics, union of Stein open sets

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/ijmms/2002/324610.pdf
https://zbmath.org/1779145
https://doi.org/10.1155/s0161171202007603
https://doaj.org/article/c43386c924f44fa3a5110ea65bb9933b
https://downloads.hindawi.com/journals/ijmms/2002/324610.pdf
https://www.emis.de/journals/HOA/IJMMS/Volume30_10/625.pdf
http://downloads.hindawi.com/journals/ijmms/2002/324610.pdf
https://www.hindawi.com/journals/ijmms/2002/324610/

A counterexample to unique continuation in dimension two

Authors: Niculae Mandache

Source: Communications in Analysis and Geometry. 10:1-10

Subject Terms: 0103 physical sciences, Laplace equation, Dirac equation, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, Continuation and prolongation of solutions to PDEs, 01 natural sciences

File Description: application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2002/0010/0001/CAG-2002-0010-0001-a001.pdf
https://zbmath.org/1775024
https://doi.org/10.4310/cag.2002.v10.n1.a1
https://www.intlpress.com/site/pub/files/_fulltext/journals/cag/2002/0010/0001/CAG-2002-0010-0001-a001.pdf

Estimates on the heat kernel of the Pauli Hamiltonian and its application to problems on hypoellipticity of the $\overline{\partial _b}$ -Laplacian: Estimates on the heat kernel of the Pauli Hamiltonian and its application to problems on hypoellipticity of the \(\overline\partial_b\)-Laplacian.

Authors: Naomasa Ueki

Source: Mathematische Zeitschrift. 239:69-97

Subject Terms: \(\overline\partial_b\) and \(\overline\partial_b\)-Neumann operators, heat kernel, 0103 physical sciences, hypoellipticity, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, Heat kernels in several complex variables, \(\overline \partial_b\)-Laplacian, 01 natural sciences, Pauli Hamiltomian

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Access URL: https://zbmath.org/1716689
https://doi.org/10.1007/s002090100283
https://link.springer.com/content/pdf/10.1007/s002090100283.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2806628
https://link.springer.com/article/10.1007/s002090100283

Sobolev cohomology for locally polycylindrical domains

Authors: Patrick W. Darko

Source: International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 4, Pp 187-194 (2002)

Subject Terms: Vanishing theorems, locally polycylindrical domain in \(\mathbb{C}^n\), vanishing theorem, sheaf of holomorphic functions, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 01 natural sciences, \(\overline\partial_b\) and \(\overline\partial_b\)-Neumann operators, Sheaves of differential operators and their modules, \(D\)-modules, Sobolev spaces, QA1-939, cohomology, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Mathematics

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/ijmms/2002/131462.pdf
https://doaj.org/article/e7f15d18b421448d8a20709874dcd6f8
http://downloads.hindawi.com/journals/ijmms/2002/131462.pdf
https://www.hindawi.com/journals/ijmms/2002/131462/
https://downloads.hindawi.com/journals/ijmms/2002/131462.pdf

A splitting theory for the space of distributions

Authors: Paweł Domański, Dietmar Vogt

Source: Studia Mathematica. 140:57-77

Subject Terms: PLS-spaces, Topological linear spaces of test functions, distributions and ultradistributions, ultrabornological, Spaces defined by inductive or projective limits (LB, LF, etc.), complete splitting theory, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, Theorems of Hahn-Banach type, extension and lifting of functionals and operators, Topological invariants ((DN), (\(\Omega\)), etc.) for locally convex spaces, 01 natural sciences, short exact sequences, Barrelled spaces, bornological spaces, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), Overdetermined systems of PDEs with constant coefficients, PLN-spaces, countable projective limits of DFN-spaces, 0101 mathematics, Sequence spaces (including Köthe sequence spaces)

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https://zbmath.org/1485092
https://doi.org/10.4064/sm-140-1-57-77
https://eudml.org/doc/216756
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-smv140i1p57bwm

The $\overline {\partial }$ problem on domains with piecewise smooth boundaries with applications: The \(\overline\partial\) problem on domains with piecewise smooth boundaries with applications

Authors: Mei-Chi Shaw, Joachim Michel

Source: Transactions of the American Mathematical Society. 351:4365-4380

Subject Terms: \(q\)-convexity, \(q\)-concavity, tangential Cauchy-Riemann equations, Nonlinear first-order PDEs, Overdetermined systems of PDEs with constant coefficients, Overdetermined systems of PDEs with variable coefficients, Cauchy-Riemann equations, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/tran/1999-351-11/S0002-9947-99-02519-2/S0002-9947-99-02519-2.pdf
https://zbmath.org/1329214
https://doi.org/10.1090/s0002-9947-99-02519-2
https://dialnet.unirioja.es/servlet/articulo?codigo=477219
https://www.ams.org/journals/tran/1999-351-11/S0002-9947-99-02519-2/home.html
https://www.ams.org/tran/1999-351-11/S0002-9947-99-02519-2/S0002-9947-99-02519-2.pdf

Optimal weighted estimates for the Cauchy-Riemann equation on analytic polyhedra

Authors: Hong Rae Cho, Jin-Kee Lee

Source: Bulletin of the Australian Mathematical Society. 59:427-431

Subject Terms: analytic polyhedron, 0103 physical sciences, Integral representations, canonical kernels (Szegő, Bergman, etc.), weighted estimates, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, Cauchy-Riemann equation

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7078E884AD017DBF974574675D7CE161/S0004972700033104a.pdf/div-class-title-optimal-weighted-estimates-for-the-cauchy-riemann-equation-on-analytic-polyhedra-div.pdf
https://zbmath.org/1333181
https://doi.org/10.1017/s0004972700033104
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/optimal-weighted-estimates-for-the-cauchyriemann-equation-on-analytic-polyhedra/7078E884AD017DBF974574675D7CE161
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7078E884AD017DBF974574675D7CE161/S0004972700033104a.pdf/div-class-title-optimal-weighted-estimates-for-the-cauchy-riemann-equation-on-analytic-polyhedra-div.pdf
http://journals.cambridge.org/abstract_S0004972700033104

Regular functions of several quaternionic variables and the Cauchy-Fueter complex

Authors: W. W. Adams, C. A. Berenstein, P. Loustaunau, SABADINI, IRENE MARIA, D. C. Struppa

Source: Journal of Geometric Analysis. 9:1-15

Subject Terms: new duality theorems, 0103 physical sciences, Differential complexes, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, Hartogs theorem, 01 natural sciences, Generalized function theory, matrix techniques

File Description: application/xml

Access URL: https://zbmath.org/1542090
https://doi.org/10.1007/bf02923085
https://link.springer.com/article/10.1007/BF02923085
https://link.springer.com/content/pdf/10.1007/BF02923085.pdf

A decomposition problem on weakly pseudoconvex domains

Authors: Joachim Michel, Mei-Chi Shaw

Source: Mathematische Zeitschrift. 230:1-19

Subject Terms: Plurisubharmonic exhaustion functions, strictly plurisubharmonic exhaustion, decomposition theorem, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/PL00004685

Hilbert-valued forms and barriers on weakly pseudoconvex domains

Authors: Thilliez, V.

Contributors: Thilliez, Vincent

Source: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 42, Núm. 2 (1998); p. 423-433

Subject Terms: Integral representations, canonical kernels (Szegő, Bergman, etc.), Linear function spaces and their duals, [MATH] Mathematics [math], \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, weakly pseudoconvex domain, Hilbert-valued differential form, barrier map

File Description: application/pdf; application/xml

Access URL: https://ddd.uab.cat/pub/pubmat/02141493v42n2/02141493v42n2p423.pdf
https://ddd.uab.cat/record/13971
http://hdl.handle.net/2072/381773
https://hal.science/hal-04402390v1
https://zbmath.org/1267256
https://doi.org/10.5565/publmat_42298_09
https://ddd.uab.cat/pub/pubmat/02141493v42n2/02141493v42n2p423.pdf
http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_42298_09
https://dialnet.unirioja.es/servlet/articulo?codigo=120807
https://eudml.org/doc/41346
https://ddd.uab.cat/record/13971
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37944

A Splitting Theorem for the Space of Smooth Functions: A splitting theorem for the space of smooth functions

Authors: Paweł Domański, Dietmar Vogt

Source: Journal of Functional Analysis. 153:203-248

Subject Terms: splitting of exact sequence, graded Fréchet space, continuous linear right inverse, Spaces defined by inductive or projective limits (LB, LF, etc.), convolution operators, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, Theorems of Hahn-Banach type, extension and lifting of functionals and operators, reduced spectrum, 01 natural sciences, Locally convex Fréchet spaces and (DF)-spaces, exact complex, Overdetermined systems of PDEs with constant coefficients, space of smooth functions, Topological linear spaces of continuous, differentiable or analytic functions, linear differential operators with constant coefficients, 0101 mathematics, Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), Sequence spaces (including Köthe sequence spaces), Analysis

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0022123697931773
https://core.ac.uk/display/82513587