Estimates for the solution of \(\overline\partial\) on an intersection of strictly pseudoconvex open sets
type: Item
instance of: scholarly article
title: Estimates for the solution of \(\overline\partial\) on an intersection of strictly pseudoconvex open sets
zbMATH Open document ID: 0869.32010
DOI: 10.1007/PL00004305
author: Chantal Menini
published in: Mathematische Zeitschrift
publication date: 1997-07-03T00:00:00Z
review text: Using Berndtsson and Andersson kernels, we obtain a solution of the equation \(\overline \partial u=w\) for \(w\) defined on a transversal intersection of strictly pseudoconvex domains. The solution is given by an integral supported only by the domain \(\Omega\) considered. This allow us to have, in particular, \(u\) in \(L^p_{(0,q-1)} (\Omega)\) for \(w\) in \(L^p_{(0,q)} (\Omega)\).
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32T99
zbMATH DE Number: 1028176
zbMATH Keywords: \(L^ p\) estimates
zbMATH Keywords: \(\overline\partial\) equation
zbMATH Keywords: integral representation
zbMATH Keywords: transversal intersection
zbMATH Keywords: strictly pseudoconvex domains
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1028176