{"title":"Interpolating sequences for the fractral derivatives of Bloch functions in several variables","authors":"Shi Jihuai, L. Hua","doi":"10.1080/02781070412331298598","DOIUrl":null,"url":null,"abstract":"In this paper, it is proved that the sufficiently separated sequences are interpolating sequences for when f is a Bloch function. In other words, for a sufficiently separated sequence {ak } and each bounded sequence {ck }, there exists at least one Bloch function f (z) such that .","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070412331298598","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 paper, it is proved that the sufficiently separated sequences are interpolating sequences for when f is a Bloch function. In other words, for a sufficiently separated sequence {ak } and each bounded sequence {ck }, there exists at least one Bloch function f (z) such that .