{"title":"Inhomogeneous Lipschitz spaces associated with flag singular integrals and their applications","authors":"Shaoy ng He, Jiecheng Chen","doi":"10.7153/mia-2021-24-67","DOIUrl":null,"url":null,"abstract":". This note is motivated by M¨uller, Ricci and Stein’s work in [29]. We introduce a new class of inhomogeneous Lipschitz spaces associated with fl ag singular integrals and characterize these spaces via the Littlewood-Paley theory. We prove that inhomogeneous fl ag singular integral operators are bounded on these Lipschitz spaces.","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":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/mia-2021-24-67","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: 3
Abstract
. This note is motivated by M¨uller, Ricci and Stein’s work in [29]. We introduce a new class of inhomogeneous Lipschitz spaces associated with fl ag singular integrals and characterize these spaces via the Littlewood-Paley theory. We prove that inhomogeneous fl ag singular integral operators are bounded on these Lipschitz spaces.
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.
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