On compactness of the \overline{∂}-Neumann problem and Hankel operators

DOI10.1090/S0002-9939-2011-11350-9zbMath1251.32032arXiv1008.4199OpenAlexW2764612548MaRDI QIDQ5388794

Mehmet Çelik, Sonmez Sahutoglu

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4199

zbMATH Keywords

Hankel operatorsd-bar Neumann problem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items (7)

Compactness of Hankel operator with symbols of forms ⋮ Localization of compactness of Hankel operators on pseudoconvex domains ⋮ Compactness of the \(\overline\partial\)-Neumann operator and commutators of the Bergman projection with continuous functions ⋮ On compactness of Hankel and the \(\overline{\partial}\)-Neumann operators on Hartogs domains in \(\mathbb {C}^2\) ⋮ Compactness of Hankel operators with continuous symbols on convex domains ⋮ A geometric approach to Catlin's boundary systems ⋮ Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators

Cites Work

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• Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
• Compactness of the Neumann operator for hyperconvex domains with non-smooth \(B\)-regular boundary
• Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
• Positivity conditions for bihomogeneous polynomials
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• Analytic discs, plurisubharmonic hulls, and non-compactness of the \(\bar\partial\)-Neumann operator
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• The % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb % L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe % pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam % aaeaqbaaGcbaGafyOaIyRbaebaaaa!3C49! $$ \bar \partial $$ -Neumann operator and commutators of the Bergman projection and multiplication operators

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