{"title":"Dissipative and exact inner functions","authors":"Wael Bahsoun, Pawel Góra †","doi":"10.1080/02781070410001710344","DOIUrl":null,"url":null,"abstract":"We discuss exactness and dissipative behavior of inner functions with ∞ as the Denjoy–Wolff point. We give an example of an inner function g which preserves Lebesgue measure on with and g(x) being (totally) dissipative on J(g). E-mail: pgora@vax2.concordia.ca","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"49 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/10.1080/02781070410001710344","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 discuss exactness and dissipative behavior of inner functions with ∞ as the Denjoy–Wolff point. We give an example of an inner function g which preserves Lebesgue measure on with and g(x) being (totally) dissipative on J(g). E-mail: pgora@vax2.concordia.ca