Nonlinear potential theory and weighted Sobolev spaces
type: Item
instance of: scholarly article
title: Nonlinear potential theory and weighted Sobolev spaces
zbMATH Open document ID: 0949.31006
author: Bengt Ove Turesson
published in: Lecture Notes in Mathematics
publication date: 2000-07-19T00:00:00Z
review text: The aim of this Lecture Note is to show how a number of results from the theory of non-weighted Sobolev spaces and from non-weighted potential theory can be extended to the weighted context. Almost all results are established for Muckenhoupt weights; a few results are shown to hold for more general classes of weights such as doubling weights. The book is based on the Ph. D. thesis of the author and the results are due to himself.
reviewed by: Maria Alessandra Ragusa
Mathematics Subject Classification ID: 31C45
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 31-02
Mathematics Subject Classification ID: 46-02
zbMATH DE Number: 1479421
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: Muckenhoupt weights
MaRDI profile type: Publication
DOI: 10.1007/BFB0103908
description: scientific article; zbMATH DE number 1479421