{"title":"Hp (Tn)中函数的分解","authors":"T. Nakazi","doi":"10.1080/02781070410001702541","DOIUrl":null,"url":null,"abstract":"We are interested in extremal functions in a Hardy space . For example, we study extreme points of the unit ball of H 1(Tn ) and give a factorization theorem. In particular, we show that any rational function can be factorized.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Factorizations of functions in Hp (Tn )\",\"authors\":\"T. Nakazi\",\"doi\":\"10.1080/02781070410001702541\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We are interested in extremal functions in a Hardy space . For example, we study extreme points of the unit ball of H 1(Tn ) and give a factorization theorem. In particular, we show that any rational function can be factorized.\",\"PeriodicalId\":272508,\"journal\":{\"name\":\"Complex Variables, Theory and Application: An International Journal\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-04-15\",\"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/10.1080/02781070410001702541\",\"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/10.1080/02781070410001702541","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We are interested in extremal functions in a Hardy space . For example, we study extreme points of the unit ball of H 1(Tn ) and give a factorization theorem. In particular, we show that any rational function can be factorized.