Orlicz-Karamata 模块空间中的马丁格尔不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-26 DOI:10.1007/s43037-024-00365-7

Libo Li, Kaituo Liu, Yao Wang

{"title":"Orlicz-Karamata 模块空间中的马丁格尔不等式","authors":"Libo Li, Kaituo Liu, Yao Wang","doi":"10.1007/s43037-024-00365-7","DOIUrl":null,"url":null,"abstract":"In this article, some new martingale inequalities in the framework of Orlicz–Karamata modular spaces are discussed. More precisely, we establish modular inequalities associated with Orlicz functions and slowly varying functions. The results obtained herein can weaken the restrictive condition that the slowly varying function b is nondecreasing in (Math Nachr 291(8–9):1450–1462, 2018).","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Martingale inequalities in Orlicz–Karamata modular spaces\",\"authors\":\"Libo Li, Kaituo Liu, Yao Wang\",\"doi\":\"10.1007/s43037-024-00365-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, some new martingale inequalities in the framework of Orlicz–Karamata modular spaces are discussed. More precisely, we establish modular inequalities associated with Orlicz functions and slowly varying functions. The results obtained herein can weaken the restrictive condition that the slowly varying function b is nondecreasing in (Math Nachr 291(8–9):1450–1462, 2018).\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s43037-024-00365-7\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s43037-024-00365-7","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本文讨论了在奥尔利茨-卡拉马塔模态空间框架下的一些新的马汀厄不等式。更确切地说，我们建立了与奥立兹函数和慢变函数相关的模态不等式。本文得到的结果可以弱化慢变函数b在（Math Nachr 291(8-9):1450-1462, 2018）中非递减的限制性条件。

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

Martingale inequalities in Orlicz–Karamata modular spaces

In this article, some new martingale inequalities in the framework of Orlicz–Karamata modular spaces are discussed. More precisely, we establish modular inequalities associated with Orlicz functions and slowly varying functions. The results obtained herein can weaken the restrictive condition that the slowly varying function b is nondecreasing in (Math Nachr 291(8–9):1450–1462, 2018).

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.