{"title":"On the integral means spectrum of univalent functions with quasconformal extensions","authors":"Jianjun Jin","doi":"arxiv-2407.19240","DOIUrl":null,"url":null,"abstract":"In this note we show that the integral means spectrum of any univalent\nfunction admitting a quasiconformal extension to the extended complex plane is\nstrictly less than the universal integral means spectrum. This gives an\naffirmative answer to a question raised in our recent paper.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"59 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-27","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-2407.19240","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 note we show that the integral means spectrum of any univalent
function admitting a quasiconformal extension to the extended complex plane is
strictly less than the universal integral means spectrum. This gives an
affirmative answer to a question raised in our recent paper.
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