{"title":"Weighted versions of Saitoh's conjecture in fibration cases","authors":"Qi'an Guan, Gan Li, Zheng Yuan","doi":"arxiv-2409.10002","DOIUrl":null,"url":null,"abstract":"In this article, we introduce some generalized Hardy spaces on fibrations of\nplanar domains and fibrations of products of planar domains. We consider the\nkernel functions on these spaces, and we prove some weighted versions of\nSaitoh's conjecture in fibration cases.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"18 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-2409.10002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we introduce some generalized Hardy spaces on fibrations of
planar domains and fibrations of products of planar domains. We consider the
kernel functions on these spaces, and we prove some weighted versions of
Saitoh's conjecture in fibration cases.
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