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Bergman projection on the symmetrized bidisk (Q6157825)

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scientific article; zbMATH DE number 7685088

Language	Label	Description	Also known as
English	Bergman projection on the symmetrized bidisk	scientific article; zbMATH DE number 7685088

Statements

scholarly article

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Bergman projection on the symmetrized bidisk (English)

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The Journal of Geometric Analysis

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publication date

12 May 2023

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full work available at URL

https://arxiv.org/abs/2004.02785

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zbMATH Keywords

Bergman kernel

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Bergman projection

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symmetrized bidisk

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MaRDI profile type

MaRDI publication profile

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Algebraic and geometric aspects of rational \(\Gamma\)-inner functions

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Operators having the symmetrized bidisc as a spectral set

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The hyperbolic geometry of the symmetrized bidisc

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Behavior of the Bergman projection on the Diederich-Fornæss worm

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Proper holomorphic mappings and the Bergman projection

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-regularity of the Bergman projection on quotient domains

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Holomorphic reproducing kernels in Reinhardt domains

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Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator

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

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$L^p$ mapping properties of the Bergman projection on the Hartogs triangle

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Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle

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The \(L^{p}\) boundedness of the Bergman projection for a class of bounded Hartogs domains

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\(L^p\) regularity of the Bergman projection on domains covered by the polydisc

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Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains

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The Bergman projection on fat Hartogs triangles: $L^p$ boundedness

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Sobolev mapping of some holomorphic projections

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Geometry of the symmetrized polydisc

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Weighted estimates for the Bergman projection on the Hartogs triangle

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A Békollè-Bonami class of weights for certain pseudoconvex domains

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Bekollé-Bonami estimates on some pseudoconvex domains

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The Bergman kernel and projection on non-smooth worm domains

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Szegö and Bergman projections on non-smooth planar domains

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Mapping properties of the Bergman projection on convex domains of finite type

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Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc

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Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)

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Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains

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Weighted estimates for the Berezin transform and Bergman projection on the unit ball

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Exact regularity of Bergman, Szegö and Sobolev space projections in non pseudoconvex domains

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Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem

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𝐿^{𝑝} regularity of weighted Bergman projections

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Identifiers

zbMATH Open document ID

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10.1007/s12220-023-01263-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6157825

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