Fredholm pseudo-differential operators on weighted Sobolev spaces
type: Item
instance of: scholarly article
title: Fredholm pseudo-differential operators on weighted Sobolev spaces
zbMATH Open document ID: 0543.47046
DOI: 10.1007/BF02384315
published in: Arkiv för Matematik
publication date: 1983-01-01T00:00:00Z
review text: Let P be a pseudo-differential operator in the global class \(OPS^ m_{1,0}({\mathbb{R}}^ n\times {\mathbb{R}}^ m).\) In this paper, using some careful estimates on the boundness of P in the weighted Sobolev spaces \(W^{s+m,p}({\mathbb{R}}^ n,wdx),\) the author gives sufficient conditions on the symbol of P, in order that P be Fredholm in these spaces.
Mathematics Subject Classification ID: 47Gxx
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 3863935
zbMATH Keywords: continuity in Sobolev spaces
zbMATH Keywords: Fredholm systems
zbMATH Keywords: pseudo-differential operator
zbMATH Keywords: weighted Sobolev spaces
author: M. W. Wong
reviewed by: Claude Zuily
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3863935