Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators
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Publication:5853481
DOI10.1090/tran/8201OpenAlexW3030369812MaRDI QIDQ5853481
Željko Čučković, Sonmez Sahutoglu
Publication date: 10 March 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.09221
Bergman kernelconvex domainBerezin transformpseudoconvex domain\( \overline{\partial}\)-Neumann operator
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)
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Cites Work
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- Growth orders of Cesàro and Abel means of functions in Banach spaces
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
- Differentiability of the Bergman kernel and pseudo-local estimates
- Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
- Real hypersurfaces, orders of contact, and applications
- BMO in the Bergman metric on bounded symmetric domains
- Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
- A local weighted Axler-Zheng theorem in \(\mathbb{C}\)n
- Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains
- Erratum to: ``Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- Localization of compactness of Hankel operators on pseudoconvex domains
- Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)
- Singular Berezin transforms
- 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
- A pseudo-convex domain not admitting a holomorphic support function
- Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem
- Toeplitz Operators on Bergman Spaces
- Compact operators via the Berezin transform
- A Lipschitz estimate for Berezin’s operator calculus
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Essential norm estimates for the dbar-Neumann operator on convex domains and worm domains
- Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$
- On compactness of the \overline{∂}-Neumann problem and Hankel operators
- The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$
- Invariant distances and metrics in complex analysis
- Iterates and the boundary behavior of the Berezin transform
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