Embeddings of anisotropic Sobolev spaces on unbounded domains
type: Item
instance of: scholarly article
title: Embeddings of anisotropic Sobolev spaces on unbounded domains
zbMATH Open document ID: 0628.46030
DOI: 10.1007/BF01760816
author: Mohan Namasivayam
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1986-01-01T00:00:00Z
review text: Integral representations of functions in the anisotropic Sobolev spaces \(\overset\circ W^{k,p}(\Omega)\) on unbounded domains \(\Omega\) are used in the study of the embeddings of these spaces into Lebesgue spaces. Estimates of entropy numbers of the embedding \(\overset\circ W^{k,p}(\Omega{)} L^ q(\Omega)\) are obtained, where k, p and q satisfy certain conditions and where \(\Omega\) is a certain type of quasibounded domain.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 4021904
zbMATH Keywords: Integral representations of functions
zbMATH Keywords: anisotropic Sobolev spaces
zbMATH Keywords: unbounded domains
zbMATH Keywords: Estimates of entropy numbers of the embedding
MaRDI profile type: Publication
cites work: Q5588847
cites work: Q4173807
cites work: Q3861944
cites work: Q4045133
cites work: Operator properties of Sobolev imbeddings over unbounded domains
cites work: Approximation numbers of Sobolev imbeddings over unbounded domains
cites work: Q4135799
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description: scientific article; zbMATH DE number 4021904