Search Results - "\(\overline\partial\) and \(\overline\partial\)-Neumann operators"

Optimal Sobolev regularity of $$\bar{\partial }$$ on the Hartogs triangle: Optimal Sobolev regularity of \(\bar{\partial}\) on the Hartogs triangle

Authors: Yifei Pan Yuan Zhang

Source: Mathematische Annalen. 391:279-307

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Complex Variables, Sobolev regularity, Integral representations, canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, Complex Variables (math.CV), \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Primary 32W05, Secondary 32A25, Hartogs triangle, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2210.02619

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

Authors: Treuer, John N.

Source: Proceedings of the American Mathematical Society.

Subject Terms: 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

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Access URL: http://arxiv.org/abs/2209.01162
https://zbmath.org/7783140
https://doi.org/10.1090/proc/16649

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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Access URL: https://rss.onlinelibrary.wiley.com/doi/am-pdf/10.1002/mana.201400402
https://zbmath.org/6737318
https://doi.org/10.1002/mana.201400402
https://ideas.repec.org/a/bla/mathna/v290y2017i7p1119-1134.html

Semiglobal results for $\overline \partial $ on a complex space with arbitrary singularities: Semiglobal results for \(\overline\partial\) on a complex space with arbitrary singularities

Authors: Nils Øvrelid John Erik Fornæss Sophia Vassiliadou

Source: Proceedings of the American Mathematical Society. 133:2377-2386

Subject Terms: 0103 physical sciences, Cauchy-Riemann equations, singular Stein space, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences

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Access URL: https://www.ams.org/proc/2005-133-08/S0002-9939-05-07963-3/S0002-9939-05-07963-3.pdf
https://www.ams.org/proc/2005-133-08/S0002-9939-05-07963-3/S0002-9939-05-07963-3.pdf
https://www.ams.org/journals/proc/2005-133-08/S0002-9939-05-07963-3/home.html

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

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

Elliptic problems for the Dolbeault complex

Authors: Kytmanov, Aleksandr Myslivets, Simona Schulze, Bert-Wolfgang (Prof. Dr.) et al.

Source: Mathematische Nachrichten. 278:194-215

Subject Terms: ddc:510, Dolbeault complex, Fredholm complex, Pseudodifferential operators in several complex variables, elliptic complex, Institut für Mathematik, Integral representations, canonical kernels (Szegő, Bergman, etc.), \(\overline\partial\) and \(\overline\partial\)-Neumann operators

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Access URL: https://publishup.uni-potsdam.de/files/2388/2001_13.pdf
https://publishup.uni-potsdam.de/opus4-ubp/frontdoor/index/index/year/2017/docId/13740
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/13740
https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-25979
https://publishup.uni-potsdam.de/files/2388/2001_13.pdf
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2388

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

Quasi-projectivity of moduli spaces of polarized varieties

Authors: Georg Schumacher Hajime Tsuji

Source: Annals of Mathematics. 159:597-639

Subject Terms: polarized varieties, Lelong number, quasi-projective, Moduli, classification: analytic theory, relations with modular forms, 01 natural sciences, Complex-analytic moduli problems, Algebraic moduli problems, moduli of vector bundles, 0103 physical sciences, moduli, plurisubharmonic, 0101 mathematics, Plurisubharmonic functions and generalizations, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Lelong numbers

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Access URL: http://annals.math.princeton.edu/wp-content/uploads/annals-v159-n2-p03.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=983603
https://www.jstor.org/stable/3597304
https://www.mathematik.uni-marburg.de/%7Eschumac/qpmod.pdf
http://annals.math.princeton.edu/wp-content/uploads/annals-v159-n2-p03.pdf
http://www.mathematik.uni-marburg.de/%7Eschumac/qpmod.pdf
https://annals.math.princeton.edu/2004/159-2/p03

The canonical solution operator of $ {\bar \partial } $ on weighted spaces with holomorphic coefficients: The canonical solution operator of \(\overline \partial\) on weighted spaces with holomorphic coefficients

Authors: Wolfgang Knirsch

Source: Mathematische Nachrichten. 265:15-23

Subject Terms: weighted Bergman spaces, Bergman spaces of functions in several complex variables, canonical solution of the Cauchy-Riemann operator, Fock spaces, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences

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Access URL: https://zbmath.org/2056922
https://doi.org/10.1002/mana.200310134
https://www.onlinelibrary.wiley.com/doi/pdf/10.1002/mana.200310134

Weighted $L^p$ estimates for the $\bar\partial$-equation on convex domains of finite type: Weighted \(L^p\) estimates for the \(\bar\partial\)-equation on convex domains of finite type

Authors: H. Ahn

Source: Publicacions Matemàtiques. 48:139-157

Subject Terms: convex domains of finite type, weighted \(L^{p}\)-estimates, Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, \(\overline{\partial}\)-equation

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Access URL: https://ddd.uab.cat/pub/pubmat/02141493v48n1/02141493v48n1p139.pdf
https://zbmath.org/2074334
https://doi.org/10.5565/publmat_48104_07
http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_48104_07

Dolbeault cohomology of a loop space

Authors: Lempert, László Zhang, Ning

Source: Acta Math. 193, no. 2 (2004), 241-268

Subject Terms: Manifolds of mappings, Mathematics - Differential Geometry, Mathematics - Complex Variables, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Questions of holomorphy and infinite-dimensional manifolds, Complex manifolds, Differential Geometry (math.DG), 58B12, 32Q99, 58D15, loop spaces, 0103 physical sciences, Dolbeault cohomology, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Mathematical Physics

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Access URL: http://arxiv.org/abs/math/0403405
https://zbmath.org/2183719
https://doi.org/10.1007/bf02392565
http://projecteuclid.org/euclid.acta/1485891701
https://link.springer.com/article/10.1007/BF02392565
https://projecteuclid.org/download/pdf_1/euclid.acta/1485891701
https://projecteuclid.org/journals/acta-mathematica/volume-193/issue-2/Dolbeault-cohomology-of-a-loop-space/10.1007/BF02392565.full
http://projecteuclid.org/euclid.acta/1485891701

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

Authors: Emil J. Straube

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

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

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Access URL: 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/

INTEGRAL FORMULA FOR DIFFERENTIAL FORMS OF TYPE (P, Q) ON COMPLEX FINSLER MANIFOLDS: Integral formulas for differential forms of type \((p,q)\) on complex Finsler manifolds

Authors: Qiu, CH Zhong, TD Fitzgerald, CH et al.

Source: Geometric Function Theory in Several Complex Variables. :287-294

Subject Terms: Chern-Finsler connection, complex Finsler manifold, Global differential geometry of Finsler spaces and generalizations (areal metrics), 4. Education, invariant integral kernel, Integral representations, canonical kernels (Szegő, Bergman, etc.), Koppelman-Leray formula, partial derivative-equation, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 16. Peace & justice, Other complex differential geometry

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Access URL: https://zbmath.org/2170605
http://ui.adsabs.harvard.edu/abs/2004ScChA..41..284Q/abstract
https://link.springer.com/article/10.1360/01ys0306
https://core.ac.uk/display/41371670
https://link.springer.com/content/pdf/10.1360%2F01ys0306.pdf
https://core.ac.uk/display/41371667

A REMARK ON A QUESTION OF LEMPERT–HENKIN: A remark on a question of Lempert-Henkin

Authors: Viet-Anh Nguyen

Source: International Journal of Mathematics. 14:1091-1095

Subject Terms: 0103 physical sciences, Cauchy Riemann equation, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Infinite-dimensional holomorphy, 01 natural sciences

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Access URL: https://www.worldscientific.com/doi/pdf/10.1142/S0129167X03002058

A differential criterium for regularity of quaternionic functions

Authors: Perotti, Alessandro

Source: Comptes Rendus. Mathématique. 337:89-92

Subject Terms: Other partial differential equations of complex analysis in several variables, differential criterium, Functions of hypercomplex variables and generalized variables, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, regularity of quaternionic functions, 01 natural sciences

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Access URL: http://www.science.unitn.it/~perotti/regcr.pdf
https://www.sciencedirect.com/science/article/pii/S1631073X0300284X
http://www.science.unitn.it/~perotti/regcr.pdf
https://www.sciencedirect.com/science/article/abs/pii/S1631073X0300284X
https://hdl.handle.net/11572/74185
https://doi.org/10.1016/S1631-073X(03)00284-X

On Construction of Exact Complexes Connected with the Dolbeault Complex: On construction of exact complexes connected with the Dolbeault complex

Authors: S. G. Myslivets Alexander M. Kytmanov

Source: Siberian Mathematical Journal. 44:611-628

Subject Terms: Dolbeault complex, Analytic sheaves and cohomology groups, Koppelman integral representation, holomorphic function, 0103 physical sciences, Cauchy-Riemann operator, Hardy space, Systems of elliptic equations, boundary value problems, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, exact subcomplex

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Access URL: https://zbmath.org/2007841
https://link.springer.com/article/10.1023/A:1024728322081

on construction of exact complexes connected with the dolbeault complex: On construction of exact complexes connected with the Dolbeault complex

Authors: S. G. Myslivets Alexander M. Kytmanov

Source: Siberian Mathematical Journal. 44(4):611-628

Subject Terms: Dolbeault complex, Analytic sheaves and cohomology groups, Koppelman integral representation, holomorphic function, Cauchy-Riemann operator, Hardy space, Systems of elliptic equations, boundary value problems, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, exact subcomplex

File Description: application/xml

Access URL: https://zbmath.org/2007841
https://link.springer.com/article/10.1023/A:1024728322081

COMPLEX ANALYSIS AND THE FUNK TRANSFORM: Complex analysis and the Funk transform

Authors: Bailey, Toby N. Eastwood, Michael George Gover, A. Rod et al.

Contributors: Bailey, Toby N. Eastwood, Michael George Gover, A. Rod et al.

Source: Journal of the Korean Mathematical Society. 40:577-593

Subject Terms: Keywords: Funk, Zoll, Radon, 0103 physical sciences, Cauchy-Riemann operator, complex geometry, Integral geometry, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, Penrose, Radon transform

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Access URL: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200311921888739
https://zbmath.org/2066124
https://doi.org/10.4134/jkms.2003.40.4.577
https://openresearch-repository.anu.edu.au/handle/1885/17710
https://ora.ox.ac.uk/objects/uuid%3Ae87019f5-5d16-4252-9dce-bafd6756fb72
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2003_v40n4_577
https://digitalcollections.anu.edu.au/handle/1885/17710
https://www.research.ed.ac.uk/portal/en/publications/complex-analysis-and-the-funk-transform(68733255-d95e-4e6b-b063-b26ac2888d42).html

L2 estimates and existence theorems for $$\bar\partial_{b}$$ on Lipschitz boundaries: \(L^2\) estimates and existence theorems for \(\bar\partial_b\) on Lipschitz boundaries

Authors: Mei-Chi Shaw

Source: Mathematische Zeitschrift. 244:91-123

Subject Terms: \(\overline\partial_b\) and \(\overline\partial_b\)-Neumann operators, 0103 physical sciences, \(\overline \partial_b\) operator, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Lipschitz domain, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/10.1007/s00209-002-0476-9
https://dialnet.unirioja.es/servlet/articulo?codigo=2806694
https://link.springer.com/article/10.1007/s00209-002-0476-9

Optimal Lipschitz estimates for the $\overline{\partial }$ equation on a class of convex domains: Optimal Lipschitz estimates for the \(\bar\partial\) equation on a class of convex domains

Authors: Viet-Anh Nguyen El Hassan Youssfi

Source: Annales de la faculté des sciences de Toulouse Mathématiques. 12:179-243

Subject Terms: class of convex domains, Mathematics - Complex Variables, Integral representations of solutions to PDEs, 32A22, 32A25, 01 natural sciences, optimal Lipschitz estimates, \(\bar\partial\)-equation, \(\overline\partial\) equation, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Lipschitz estimates

File Description: application/xml

Access URL: http://www.numdam.org/item/AFST_2003_6_12_2_179_0.pdf
http://arxiv.org/abs/math/0611398
https://zbmath.org/2074290
https://doi.org/10.5802/afst.1047
https://zbmath.org/1657732
https://doi.org/10.1016/s0764-4442(01)01988-7
https://eudml.org/doc/73602
http://www.numdam.org/item/AFST_2003_6_12_2_179_0/