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On Hardy spaces on worm domains (Q283901)

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scientific article; zbMATH DE number 6581019

Language	Label	Description	Also known as
English	On Hardy spaces on worm domains	scientific article; zbMATH DE number 6581019

Statements

scholarly article

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On Hardy spaces on worm domains (English)

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Alessandro Monguzzi

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Concrete Operators

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publication date

17 May 2016

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zbMATH Keywords

Hardy spaces

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Szegő projection

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worm domains

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MaRDI profile type

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full work available at URL

https://doi.org/10.1515/conop-2016-0005

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Behavior of the Bergman projection on the Diederich-Fornæss worm

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Regularity of projection operators attached to worm domains

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On the Szegő metric

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Irregularity of the Bergman projection on worm domains in \(\mathbb C^{n}\)

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Biholomorphic mappings and the \(\overline\partial\)-problem

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A simplification and extension of Fefferman's theorem on biholomorphic mappings

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The Szego Projection: Sobolev Estimates in Regular Domains

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Exact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries

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Complete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projections

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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 complex green operator on a class of weakly pseudoconvex boundaries

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A direct approach to the Mellin transform

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A self-contained approach to mellin transform analysis for square integrable functions; applications

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Comparison of the Bergman and Szegö kernels

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

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The Szegö projection need not preserve global analyticity

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Pseudoconvex domains: An example with nontrivial nebenhuelle

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The Bergman kernel and biholomorphic mappings of pseudoconvex domains

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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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Classical Fourier Analysis

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Regularity equivalence of the Szegö projection and the complex Green operator

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Harmonic integrals on strongly pseudo-convex manifolds. I

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Harmonic integrals on strongly pseudo-convex manifolds. II

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Function theory of several complex variables

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New results on the Bergman kernel of the worm domain in complex space

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Analysis and geometry on worm domains

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The Bergman kernel and projection on non-smooth worm domains

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Bergman kernel and projection on the unbounded Diederich-Fornæss worm domain

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Szegö and Bergman projections on non-smooth planar domains

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Cauchy-type integrals in several complex variables

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Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness

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The Sobolev spaces of harmonic functions

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The Szegö projection on convex domains

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Hardy spaces and the Szegő projection of the non-smooth worm domain \(D_\beta^\prime\)

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Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains

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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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A Technique for Studying the Boundedness and Extendability of Certain Types of Operators

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Multipliers for the Mellin Transformation

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Boundary values of holomorphic functions

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/CONOP-2016-0005

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Sitelinks

Mathematics(1 entry)

mardi Publication:283901

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