{"title":"多变量Bloch函数分形导数的插值序列","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":"{\"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}","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}
Interpolating sequences for the fractral derivatives of Bloch functions in several variables
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 .
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