{"title":"The volume of the boundary of a Sobolev $(p,q)$-extension domain II","authors":"Pekka Koskela, Riddhi Mishra","doi":"arxiv-2409.01170","DOIUrl":null,"url":null,"abstract":"We show that the volume of the boundary of a bounded Sobolev\n$(p,q)$-extension domain is zero when $1\\leq q <p< \\frac{qn}{(n-q)}.$","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.01170","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We show that the volume of the boundary of a bounded Sobolev
$(p,q)$-extension domain is zero when $1\leq q
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