Restriction of holomorphic functions on finite type domains in \({\mathbb{C}^{2}}\)
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Publication:993390
DOI10.1007/s00229-010-0358-0zbMath1233.32006OpenAlexW88678239MaRDI QIDQ993390
Publication date: 10 September 2010
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-010-0358-0
Continuation of analytic objects in several complex variables (32D15) Bergman spaces of functions in several complex variables (32A36) Finite-type domains (32T25) Finite-type conditions for the boundary of a domain (32F18)
Cites Work
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- Extension and restriction of holomorphic functions on convex finite type domains
- Boundary invariants of pseudoconvex domains
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Estimates of invariant metrics on pseudoconvex domains of dimension two
- Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
- Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
- Zero varieties for the Nevanlinna class in convex domains of finite type in \(\mathbb{C}^n\)
- Estimates on the Bergman kernels of convex domains
- Carleson measure characterizations of BMOA on pseudoconvex domains
- Extension and restriction of holomorphic functions
- Extremal bases and Hölder estimates for \(\overline\partial\) on convex domains of finite type
- Convex domains of finite type
- Extension problems in convex domains of finite type
- Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
- Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
- Extension of bounded holomorphic functions in convex domains
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