New characterizations of Hajłasz-Sobolev spaces on metric spaces
type: Item
instance of: scholarly article
title: New characterizations of Hajłasz-Sobolev spaces on metric spaces
zbMATH Open document ID: 1092.46026
published in: Science in China. Series A
publication date: 2006-02-13T00:00:00Z
review text: The author introduces on spaces of homogeneous type \((X, \rho, \mu)\), consisting of a set \(X\), a quasi-metric \(\rho\) and a doubling Borel measure \(\mu\), fractional Sobolev spaces \(W^s_p (X)\) where \(1 \leq p \leq \infty\) and \(s>0\). The paper deals with equivalent characterisations of these spaces in terms of local means and maximal functions.
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 5005671
zbMATH Keywords: Sobolev space
zbMATH Keywords: Lipschitz-type space
zbMATH Keywords: embedding theorem
zbMATH Keywords: maximal function
zbMATH Keywords: space of homogeneous type
author: Dachun Yang
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5005671