首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Doubling measures on Cantor sets and their extensions
Authors:Xiaohua Wang  Shengyou Wen
Institution:1.China Economics and Management Academy,Central University of Finance and Economics,Beijing,China;2.Institute for Advanced Study,Shenzhen University,Shenzhen,China;3.Department of Mathematics,Hubei University,Wuhan,China
Abstract:We study the doubling property of binomial measures on the middle interval Cantor set. We obtain a necessary and sufficient condition that enables a binomial measure to be doubling. Then we determine those doubling binomial measures which can be extended to be doubling on 0,1]. Finally, we construct a compact set X in 0,1] and a doubling measure μ on X, such that `(F)]X=X\overline{F}_{X}=X and m|EX{\mu|}_{E_{X}} is doubling on E X , where E X is the set of accumulation points of X and F X is the set of isolated points of X.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号