旗奇异积分的非齐次Lipschitz空间及其应用

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/mia-2021-24-67

Shaoy ng He, Jiecheng Chen

{"title":"旗奇异积分的非齐次Lipschitz空间及其应用","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":"{\"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}","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

摘要

。这篇文章的灵感来自于米勒、里奇和斯坦在2010年的研究。我们引入了一类新的与flag奇异积分相关的非齐次Lipschitz空间，并利用Littlewood-Paley理论对其进行了刻画。证明了非齐次奇异积分算子在这些Lipschitz空间上是有界的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Inhomogeneous Lipschitz spaces associated with flag singular integrals and their applications

. 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.

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

来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

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.