Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains

DOI10.1007/s00020-018-2497-8zbMath1459.47013arXiv1805.05829OpenAlexW2963078665WikidataQ128933258 ScholiaQ128933258MaRDI QIDQ1727962

Timothy G. Clos, Mehmet Çelik, Sonmez Sahutoglu

Publication date: 21 February 2019

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05829

zbMATH Keywords

Hankel operatorsconvex domainspseudoconvex domains

Mathematics Subject Classification ID

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

Related Items (5)

Convex domains, Hankel operators, and maximal estimates ⋮ Compactness of Hankel operators with continuous symbols on convex domains ⋮ Hankel operators on the Bergman spaces of Reinhardt domains and foliations of analytic disks ⋮ Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators ⋮ Compactness of composition operators on the Bergman spaces of convex domains and analytic discs

Cites Work

• Compactness of Hankel operators with continuous symbols
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• Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
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• Hankel operators on the Bergman spaces of strongly pseudoconvex domains
• On compactness of Hankel and the \(\overline{\partial}\)-Neumann operators on Hartogs domains in \(\mathbb {C}^2\)
• The \(\bar \partial\) Neumann problem and Schrödinger operators
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• Compactness of Hankel operators with conjugate holomorphic symbols on complete Reinhardt domains in \(\mathbb C^{2}\)
• Localization of compactness of Hankel operators on pseudoconvex domains
• Compactness of products of Hankel operators on convex Reinhardt domains in \(\mathbb C^{2}\)
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• Invariant distances and metrics in complex analysis
• Compact Hankel operators on generalized Bergman spaces of the polydisc
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