{"title":"涉及施瓦茨映射的玻尔不等式精炼版的多维类似物","authors":"Shanshan Jia, Ming-Sheng Liu, Saminathan Ponnusamy","doi":"arxiv-2409.10091","DOIUrl":null,"url":null,"abstract":"Our first aim of this article is to establish several new versions of refined\nBohr inequalities for bounded analytic functions in the unit disk involving\nSchwarz functions. Secondly, %as applications of these results, we obtain\nseveral new multidimensional analogues of the refined Bohr inequalities for\nbounded holomorphic mappings on the unit ball in a complex Banach space\ninvolving higher dimensional Schwarz mappings. All the results are proved to be\nsharp.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings\",\"authors\":\"Shanshan Jia, Ming-Sheng Liu, Saminathan Ponnusamy\",\"doi\":\"arxiv-2409.10091\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our first aim of this article is to establish several new versions of refined\\nBohr inequalities for bounded analytic functions in the unit disk involving\\nSchwarz functions. Secondly, %as applications of these results, we obtain\\nseveral new multidimensional analogues of the refined Bohr inequalities for\\nbounded holomorphic mappings on the unit ball in a complex Banach space\\ninvolving higher dimensional Schwarz mappings. All the results are proved to be\\nsharp.\",\"PeriodicalId\":501142,\"journal\":{\"name\":\"arXiv - MATH - Complex Variables\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Complex Variables\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10091\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10091","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings
Our first aim of this article is to establish several new versions of refined
Bohr inequalities for bounded analytic functions in the unit disk involving
Schwarz functions. Secondly, %as applications of these results, we obtain
several new multidimensional analogues of the refined Bohr inequalities for
bounded holomorphic mappings on the unit ball in a complex Banach space
involving higher dimensional Schwarz mappings. All the results are proved to be
sharp.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
