Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates
type: Item
instance of: scholarly article
title: Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates
zbMATH Open document ID: 0790.35078
DOI: 10.1215/S0012-7094-91-06419-7
author: David S. Tartakoff
author: Makhlouf Derridj
published in: Duke Mathematical Journal
publication date: 1992-09-27T00:00:00Z
review text: The authors prove real analytic hypoellipticity for the \(\overline{\partial}\)-Neumann problem on domains of the form \(\{x\in \mathbb{C}^ n\): \(\text{Im } w>| z'|^ 2+ h(| z''|^ 2)\}\). Here \(z'\), \(z''\) may be taken to be tuples of complex coordinates. Related results are proved for \(\square_ b\).
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 32W05
zbMATH DE Number: 58553
zbMATH Keywords: Cauchy-Riemann equations
zbMATH Keywords: real analytic hypoellipticity
zbMATH Keywords: \(\overline{\partial}\)-Neumann problem
reviewed by: Steven G. Krantz
MaRDI profile type: Publication
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full work available at URL: s0012-7094-91-06419-7
OpenAlex ID: W1567987782
description: scientific article; zbMATH DE number 58553