Anisotropic function spaces. I: Hardy's inequality, decompositions
type: Item
instance of: scholarly article
title: Anisotropic function spaces. I: Hardy's inequality, decompositions
zbMATH Open document ID: 0556.46017
DOI: 10.1007/BF02115872
author: Hans Triebel
published in: Analysis Mathematica
publication date: 1984-01-01T00:00:00Z
review text: The paper deals with anisotropic Besov spaces \(B_ p^{\bar s}\) and anisotropic Sobolev spaces \(W_ p^{\bar s}\) in the plane and in the unit circle, \(\bar s=(s_ 1,s_ 2)\), \(1<p<\infty\). We prove an anisotropic Hardy inequality which, in turn, is the basis for decomposition theorems for the spaces under consideration.
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 3886558
zbMATH Keywords: anisotropic Besov spaces
zbMATH Keywords: anisotropic Sobolev spaces
zbMATH Keywords: anisotropic Hardy inequality
zbMATH Keywords: decomposition theorems
MaRDI profile type: Publication
cites work: Q3506242
cites work: Q4758141
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full work available at URL: https://doi.org/10.1007/bf02115872
OpenAlex ID: W178498745
description: scientific article; zbMATH DE number 3886558