{"title":"Continuity of generalized Riesz potentials for double phase functionals","authors":"T. Ohno, T. Shimomura","doi":"10.7153/mia-2021-24-49","DOIUrl":null,"url":null,"abstract":"In this note, we are concerned with the continuity of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces LΦ,ν,κ (X) of double phase functionals over bounded nondoubling metric measure spaces. Mathematics subject classification (2020): 31B15, 46E35.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/mia-2021-24-49","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
In this note, we are concerned with the continuity of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces LΦ,ν,κ (X) of double phase functionals over bounded nondoubling metric measure spaces. Mathematics subject classification (2020): 31B15, 46E35.
期刊介绍:
''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.