函数对偶仿射质积分的锐规范估计

IF 1.1 2区数学 Q1 MATHEMATICS Banach Journal of Mathematical Analysis Pub Date : 2024-01-28 DOI:10.1007/s43037-023-00319-5

Songjun Lv

{"title":"函数对偶仿射质积分的锐规范估计","authors":"Songjun Lv","doi":"10.1007/s43037-023-00319-5","DOIUrl":null,"url":null,"abstract":"This paper presents refined estimates for functional dual affine quermassintegrals, building upon the estimates of Dann et al. To sharpen the inequality, Dann et al. (Proc. Lond. Math. Soc. (3) 113(2):140–162, 2016) incorporated an \$L^\\infty\$-weight into the integration. We further refine these estimates and extend the \$L^\\infty\$-weight estimates to include a wider range of \$L^{\\lambda }\$-weights where \$\\lambda >1.\$","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sharp norm estimates for functional dual affine quermassintegrals\",\"authors\":\"Songjun Lv\",\"doi\":\"10.1007/s43037-023-00319-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents refined estimates for functional dual affine quermassintegrals, building upon the estimates of Dann et al. To sharpen the inequality, Dann et al. (Proc. Lond. Math. Soc. (3) 113(2):140–162, 2016) incorporated an \\\$L^\\\\infty\\\$-weight into the integration. We further refine these estimates and extend the \\\$L^\\\\infty\\\$-weight estimates to include a wider range of \\\$L^{\\\\lambda }\\\$-weights where \\\$\\\\lambda >1.\\\$\",\"PeriodicalId\":55400,\"journal\":{\"name\":\"Banach Journal of Mathematical Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-01-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Banach Journal of Mathematical Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s43037-023-00319-5\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Banach Journal of Mathematical Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s43037-023-00319-5","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文以 Dann 等人的估计为基础，提出了函数对偶仿射求质积分的精确估计。Lond.Math.(3) 113(2):140-162, 2016）在积分中加入了一个 $L^\infty$-weight 。我们进一步完善了这些估计，并扩展了$L^\infty$-权重估计，使其包括范围更广的$L^{\lambda })-权重，其中\(\lambda >1.$

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Sharp norm estimates for functional dual affine quermassintegrals

This paper presents refined estimates for functional dual affine quermassintegrals, building upon the estimates of Dann et al. To sharpen the inequality, Dann et al. (Proc. Lond. Math. Soc. (3) 113(2):140–162, 2016) incorporated an $L^\infty$-weight into the integration. We further refine these estimates and extend the $L^\infty$-weight estimates to include a wider range of $L^{\lambda }$-weights where $\lambda >1.$

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

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.

期刊最新文献

On embeddings in the intersection $$X\cap L_{\infty }$$ 2-Rotund norms for unconditional and symmetric sequence spaces Compactness of averaging operators on Banach function spaces Approximation of invariant measures of dissipative dynamical systems on thin domains Generalized interpolation for type 1 subdiagonal algebras