Complete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projections

DOI10.1007/BF01214907zbMath0653.32023WikidataQ57376118 ScholiaQ57376118MaRDI QIDQ1107679

Harold P. Boas, Emil J. Straube

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174064

zbMATH Keywords

regularitybiholomorphic mappingsBergman projectionsSzegö projectionsHartogs domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuation of analytic objects in several complex variables (32D15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items

On Hardy spaces on worm domains ⋮ Holomorphic automorphisms of certain class of domains of infinite type ⋮ A comparison between the Bergman and Szegö kernels of the non-smooth worm domain \(D'_{\beta }\) ⋮ Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains ⋮ Hardy spaces and the Szegő projection of the non-smooth worm domain \(D_\beta^\prime\) ⋮ Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary ⋮ Comparison of the Bergman and Szegö kernels ⋮ The Fefferman–Szegő metric and applications ⋮ Rigidity and regularity in group actions ⋮ De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem ⋮ Semi-classical analysis of Schrödinger operators and compactness in the \(\bar\partial\)-Neumann problem ⋮ Quadrature domains in \({{\mathbb C}}^n\)

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