具有广义平滑性的贝索夫和特里贝尔-利佐尔金空间中的容量

Pub Date : 2024-04-24 DOI:10.1515/gmj-2024-2015

Nijjwal Karak, Debarati Mondal

{"title":"具有广义平滑性的贝索夫和特里贝尔-利佐尔金空间中的容量","authors":"Nijjwal Karak, Debarati Mondal","doi":"10.1515/gmj-2024-2015","DOIUrl":null,"url":null,"abstract":"\n We prove a lower bound estimate for capacities in Hajłasz–Besov, Hajłasz–Triebel–Lizorkin and Hajłasz–Sobolev spaces with generalized smoothness defined on metric spaces in terms of Netrusov–Hausdorff content or Hausdorff content. These results are improvements of the results obtained in [Z. Li, D. Yang and W. Yuan, Lebesgue points of Besov and Triebel–Lizorkin spaces with generalized smoothness,\nMathematics 9 2021, 10.3390/math9212724].","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness\",\"authors\":\"Nijjwal Karak, Debarati Mondal\",\"doi\":\"10.1515/gmj-2024-2015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n We prove a lower bound estimate for capacities in Hajłasz–Besov, Hajłasz–Triebel–Lizorkin and Hajłasz–Sobolev spaces with generalized smoothness defined on metric spaces in terms of Netrusov–Hausdorff content or Hausdorff content. These results are improvements of the results obtained in [Z. Li, D. Yang and W. Yuan, Lebesgue points of Besov and Triebel–Lizorkin spaces with generalized smoothness,\\nMathematics 9 2021, 10.3390/math9212724].\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/gmj-2024-2015\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/gmj-2024-2015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们证明了哈伊瓦斯-贝索夫空间、哈伊瓦斯-特里贝尔-利佐尔金空间和哈伊瓦斯-索博列夫空间中容量的下界估计，这些空间具有以内特鲁索夫-豪斯多夫含量或豪斯多夫含量定义在度量空间上的广义光滑度。这些结果是对［Z. Li, D. Yang and W.Li, D. Yang and W. Yuan, Lebesgue points of Besov and Triebel-Lizorkin spaces with generalized smoothness, Mathematics 9 2021, 10.3390/math9212724].

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness

We prove a lower bound estimate for capacities in Hajłasz–Besov, Hajłasz–Triebel–Lizorkin and Hajłasz–Sobolev spaces with generalized smoothness defined on metric spaces in terms of Netrusov–Hausdorff content or Hausdorff content. These results are improvements of the results obtained in [Z. Li, D. Yang and W. Yuan, Lebesgue points of Besov and Triebel–Lizorkin spaces with generalized smoothness, Mathematics 9 2021, 10.3390/math9212724].

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助