{"title":"马丁格尔最大算子的加权弱型混合 $$Phi$ -inequalities","authors":"Y. Ren","doi":"10.1007/s10476-024-00005-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, some necessary and sufficient conditions are\nshown for weighted weak type mixed <span>\\(\\Phi\\)</span>-inequality and weighted extra-weak type\nmixed <span>\\(\\Phi\\)</span>-inequality for martingale maximal operator. The obtained results generalize\nsome existing statements.\n</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weighted weak type mixed \\\\(\\\\Phi\\\\)-inequalities for martingale maximal operator\",\"authors\":\"Y. Ren\",\"doi\":\"10.1007/s10476-024-00005-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this article, some necessary and sufficient conditions are\\nshown for weighted weak type mixed <span>\\\\(\\\\Phi\\\\)</span>-inequality and weighted extra-weak type\\nmixed <span>\\\\(\\\\Phi\\\\)</span>-inequality for martingale maximal operator. The obtained results generalize\\nsome existing statements.\\n</p></div>\",\"PeriodicalId\":55518,\"journal\":{\"name\":\"Analysis Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-03-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10476-024-00005-0\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis Mathematica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10476-024-00005-0","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Weighted weak type mixed \(\Phi\)-inequalities for martingale maximal operator
In this article, some necessary and sufficient conditions are
shown for weighted weak type mixed \(\Phi\)-inequality and weighted extra-weak type
mixed \(\Phi\)-inequality for martingale maximal operator. The obtained results generalize
some existing statements.
期刊介绍:
Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx).
The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx).
The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.