Régularité höldérienne de l'opérateur \(\bar\partial\) sur le triangle de Hartogs. (Hölder regularity of the \(\bar\partial\) operator on the Hartogs triangle.)
type: Item
instance of: scholarly article
title: Régularité höldérienne de l'opérateur \(\bar\partial\) sur le triangle de Hartogs. (Hölder regularity of the \(\bar\partial\) operator on the Hartogs triangle.)
zbMATH Open document ID: 0735.32004
publication date: 1991-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74942
review text: On résout à l'aide de formules intégrales explicites les équations de Cauchy-Riemann sur le triangle de Hartogs. On montre que, si la donnée est dans une classe höldérienne \(C^{p,\alpha}\), la solution est dans la même classe.
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32T99
zbMATH DE Number: 4215918
zbMATH Keywords: integral formula
zbMATH Keywords: Cauchy-Riemann equations
zbMATH Keywords: Hartogs triangle
zbMATH Keywords: Hölder regularity
author: Jacques Chaumat
author: Anne-Marie Chollet
MaRDI profile type: Publication
OpenAlex ID: W2524894638
cites work: Q4694590
cites work: Sur l'opérateur \(d''\) et les fonctions différentiables au sens de Whitney
cites work: Q3692032
cites work: Generators for some rings of analytic functions
cites work: Generators of the maximal ideals of \(A(\bar{D})\)
cites work: Q5607484
DOI: 10.5802/AIF.1277
Recommended article: \(L^p\) regularity of Toeplitz operators on generalized Hartogs triangles
Recommended article: A solution operator for \(\bar\partial\) on the Hartogs triangle and \(L^p\) estimates
Recommended article: Hypoellipticité pour l'opérateur \({\bar\partial}\). (Hypoellipticity of the \({\bar\partial}\)-operator)
Recommended article: Hölder regularity for \(\overline\partial\) on the convex domains of finite strict type.
Recommended article: Sobolev regularity of the \(\overline\partial\)-equation on the Hartogs triangle
Recommended article: \(\mathcal C^{k+\alpha}\)-estimates for the \(\bar \partial\)-equation on the Hartogs triangle
Recommended article: \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle
Recommended article: Q4694621
Recommended article: Q3762936
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4215918