Localization of compactness of Hankel operators on pseudoconvex domains

zbMath1296.32014arXiv1110.1823MaRDI QIDQ2441061

Sonmez Sahutoglu

Publication date: 21 March 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1823

zbMATH Keywords

Bergman spaceHankel operator\(\bar{\partial}\) Neumann problem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items (6)

Compactness of Hankel operator with symbols of forms ⋮ Analysis on the intersection of pseudoconvex domains ⋮ Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains ⋮ 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 ⋮ Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators

Cites Work

• Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
• Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
• Positivity conditions for bihomogeneous polynomials
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• On compactness of the \overline{∂}-Neumann problem and Hankel operators

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