{"title":"Directional Chebyshev Constants on the Boundary","authors":"Thomas Bloom, Norman Levenberg","doi":"arxiv-2408.07619","DOIUrl":null,"url":null,"abstract":"We prove results on existence of limits in the definition of (weighted)\ndirectional Chebyshev constants at all points of the standard simplex $\\Sigma\n\\subset {\\bf R}^d$ for (locally) regular compact sets $K\\subset {\\bf C}^d$.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-14","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-2408.07619","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
We prove results on existence of limits in the definition of (weighted)
directional Chebyshev constants at all points of the standard simplex $\Sigma
\subset {\bf R}^d$ for (locally) regular compact sets $K\subset {\bf C}^d$.