Difference of composition operators over the half-plane  

作　　者：Changbao Pang Maofa Wang 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《Science China Mathematics》2020年第11期2299-2320,共22页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11771340 and 11431011)。

摘　　要：To overcome the unboundedness of the half-plane,we use Khinchine’s inequality and atom decomposition techniques to provide joint Carleson measure characterizations when the difference of composition operators is bounded or compact from standard weighted Bergman spaces to Lebesgue spaces over the halfplane for all index choices.For applications,we obtain direct analytic characterizations of the bounded and compact differences of composition operators on such spaces.This paper concludes with a joint Carleson measure characterization when the difference of composition operators is Hilbert-Schmidt.

关 键 词：weighted Bergman space joint Carleson measure composition operator Khinchine’s inequality atom decomposition Hilbert-Schmidt 

分 类 号：O177[理学—数学]