On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators (Q5016433)

scientific article; zbMATH DE number 7444061

Language	Label	Description	Also known as
English	On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators	scientific article; zbMATH DE number 7444061

Statements

instance of

scholarly article

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title

On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators (English)

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Geometric Aspects of Harmonic Analysis

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publication date

13 December 2021

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full work available at URL

https://arxiv.org/abs/1901.03402

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zbMATH Keywords

Hardy space

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Cauchy integral

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Diederich-Fornæss worm domain

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The semiadditivity of continuous analytic capacity and the inner boundary conjecture

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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

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Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis

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Q3719028

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Hardy and Bergman spaces on hyperconvex domains and their composition operators

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

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Q4364976

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

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

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On Hardy spaces on worm domains

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Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)

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

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Cauchy-type integrals in several complex variables

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The Bergman projection in \(L^{p}\) for domains with minimal smoothness

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Szegö and Bergman projections on non-smooth planar domains

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Harmonic Analysis Techniques in Several Complex Variables

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Q3924489

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Bergman versus Szego via conformal mapping

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Comparing the Bergman and Szegö projections on domains with subelliptic boundary Laplacian

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The Cauchy kernel, the Szegö kernel, and the Riemann mapping function

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The Szegö kernel in terms of Cauchy-Fantappie kernels

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Weighted H p Spaces on Lipschitz Domains

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Notions of convexity

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A smoothing property of the Henkin and Szegö projections

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The boundary behavior of Henkin's kernel

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Regularity of projection operators attached to worm domains

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The spectrum of the Leray transform for convex Reinhardt domains in \(\mathbb C^2\)

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The Bergman kernel on the intersection of two balls in \(\mathbb{C}^2\)

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Comparing the Bergman and the Szegö projections

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Q3324232

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Q4111841

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\(L^p\) mapping properties of the Bergman projection on the Hartogs triangle

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Estimates for the Bergman and Szegő projections for pseudoconvex domains of finite type with locally diagonalizable Levi form

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A T(b) theorem with remarks on analytic capacity and the Cauchy integral

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Q3999833

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L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes

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Opérateurs intégraux singuliers sur certaines courbes du plan complexe

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Commutators of Cauchy-Szego type integrals for domains in C^n with minimal smoothness

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Lower-dimensional Fefferman measures via the Bergman kernel

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On Hardy spaces in complex ellipsoids

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Q3979245

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The Bergman kernel and projection on non-smooth worm domains

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Q3997926

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Estimates on the Bergman kernels of convex domains

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

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Q4000000

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Regularity of the Szegö projection on model worm domains

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\(L^p\) regularity of weighted Szegő projections on the unit disc

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Cauchy-Leray-Fantappiè integral in linearly convex domains

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H p -Functions on Strictly Pseudoconvex Domains

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Q5490961

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Complex convexity and analytic functionals

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Behavior of the Bergman projection on the Diederich-Fornæss worm

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Cauchy integrals on Lipschitz curves and related operators

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Weighted Bergman projections on the Hartogs triangle: exponential decay

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Comparaison des projecteurs de Bergman et Szegö et applications. (Comparison of the Bergman and Szegö projectors, and applications)

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The Bergman kernel and biholomorphic mappings of pseudoconvex domains

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Parabolic invariant theory in complex analysis

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Szego projection versus potential theory for non-smooth planar domains

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Q4508917

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The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness

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The Cauchy-Leray integral: counter-examples to the L^p-theory

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The role of an integration identity in the analysis of the Cauchy-Leray transform

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The Cauchy-Szegő projection for domains in \(\mathbb{C}^n\) with minimal smoothness

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

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Irregularity of the Szegő projection on bounded pseudoconvex domains in \({\mathbb{C}^2}\)

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\(L^2\) boundedness of the Cauchy integral and Menger curvature

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\(L^p\) regularity of weighted Bergman projections

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Identifiers

zbMATH Open document ID

1482.32002

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DOI

10.1007/978-3-030-72058-2_14

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5016433