Duality of holomorphic function spaces and smoothing properties of the Bergman projection
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Publication:5402105
DOI10.1090/S0002-9947-2013-05827-8zbMath1286.32003arXiv1110.1533MaRDI QIDQ5402105
Emil J. Straube, Jeffery D. Mcneal, Anne-Katrin Herbig
Publication date: 5 March 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1533
Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Duality theorems for analytic spaces (32C37)
Related Items (7)
On estimates for weighted Bergman projections ⋮ Bergman Kernel in Complex Analysis ⋮ \(L^p\) regularity of the Bergman projection on domains covered by the polydisc ⋮ Estimates of the \(L^p\) norms of the Bergman projection on strongly pseudoconvex domains ⋮ Smoothing properties of the Friedrichs operator on Lp spaces ⋮ On smoothing properties of the Bergman projection ⋮ A note on smoothing properties of the Bergman projection
Cites Work
- A smoothing property of the Bergman projection
- Boundedness of the Bergman projector and Bell's duality theorem
- Regularity of the Bergman projection and duality of holomorphic function spaces
- Biholomorphic mappings and the \(\overline\partial\)-problem
- A representation theorem in strictly pseudoconvex domains
- A duality theorem for harmonic functions
- A simplification and extension of Fefferman's theorem on biholomorphic mappings
- Regularity of the Bergman projection and local geometry of domains
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- The Szego Projection: Sobolev Estimates in Regular Domains
- The Sobolev spaces of harmonic functions
- On the global real analyticity of solutions to the neumann problems
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