{"title":"Maximal Functions Along Convex Curves with Lacunary Directions","authors":"Haixia Yu","doi":"10.11650/tjm/211208","DOIUrl":null,"url":null,"abstract":". In this paper, we obtain the L p ( R 2 )-boundedness of the maximal functions where p ∈ (1 , ∞ ] and γ is a convex curve satisfying some suitable curvature conditions.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Taiwanese Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.11650/tjm/211208","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, we obtain the L p ( R 2 )-boundedness of the maximal functions where p ∈ (1 , ∞ ] and γ is a convex curve satisfying some suitable curvature conditions.
期刊介绍:
The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.