Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries
type: Item
instance of: scholarly article
title: Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries
zbMATH Open document ID: 0588.32023
DOI: 10.1007/BF01457071
author: Harold P. Boas
author: Mei-Chi Shaw
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164096
review text: The authors prove a regularity theorem, with optimal estimates in the Sobolev norm, for the global \({\bar \partial}_ b\) problem on forms of top degree on the boundary of smooth, pseudoconvex domain. The methods are a combination of integral formulas and weighted estimates. The paper contains a detailed account of the history of this and related problems.
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32T99
zbMATH DE Number: 3944274
zbMATH Keywords: Cauchy-Riemann complex
zbMATH Keywords: Lewy operator
zbMATH Keywords: pseudoconvex domain
Wikidata QID: Q57376140
reviewed by: Steven G. Krantz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3944274