A Sobolev mapping property of the Bergman kernel
By B. Berndtsson, P. Charpentier. 2000
126 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/3889fbd62895cab25277ad59ff15e7621f49f141
How researchers see this paper
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In Applied Mathematics
- Marco M. Peloso
- Steven G. Krantz
- Lihe Wang
- Jianguo Cao
- E. Youssfi
- Kristian Seip
- László Lempert
- Zbigniew Blocki
In Geometry and Topology
- Marco M. Peloso
- E. Youssfi
- Steven G. Krantz
- Lihe Wang
- Kristian Seip
- László Lempert
- Zbigniew Blocki
- Jianguo Cao
Citations in the corpus
- Estimates for the -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in (2004, methodology): “We use results by Takeuchi [Taku] and Ohsawa-Sibony [OS] for pseudoconvex domains with C2-smooth boundary in CP n. We remark that our proof of the regularity for the Bergman projection and ¯ ∂ ∗N is similar to the proof in [ BC ], but our proof of the regularity results for the ¯ ∂-Neumann operator ”
- The bergman metric and the pluricomplex green function (2005, background): “As shown by Berndtsson [1], [3], it is in fact a simple consequence of the original Hörmander theory [18].”
- Modules of Square Integrable Holomorphic Germs (2014, methodology): “ll. At the heart of all extension proofs are estimates for the solution of an equation (6.1) ∂ϕ= ψ. In his estimations Chen is inspired by an idea of Berndtsson that first appeared in [B1] and then in [BC]. Berndtsson’s idea, in a context different from extensions, was as follows. Given (in [B1, BC] a”
- Hankel Operators on Fock Spaces and Related Bergman Kernel Estimates (2010, background): “2 in [7] (a special case of a theorem proved by J.”
- Analysis and Geometry on Worm Domains (2007, background): “Hs(Ω) → Hs(Ω) is continuous for all 0 ≤ s < s0. Remark. The sharp value of s0 is not known, and most likely the exact determination of such a value might prove a very difficult task. The two sources [BeCh] and [Ko2] present completely different approaches and descriptions of s0, that is of the range”