Sobolev estimates for the ${\bar \partial}$-Neumann operator on domains in ${\mathbb{C}}^ n$ admitting a defining function that is plurisubharmonic on the boundary

DOI10.1007/BF02571327zbMath0696.32008WikidataQ57376111 ScholiaQ57376111MaRDI QIDQ910530

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/174209

zbMATH Keywords

Bergman projection convex domain biholomorphic mappings ${\bar \partial }$-Neumann operator plurisubharmonic defining function regular in Sobolev norms

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

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Cites Work

Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary