Carleson Type Measures for Harmonic Mixed Norm Spaces with Application to Toeplitz Operators  

作　　者：Zhangjian HU Xiaofen LV 

机构地区：[1]Department of Mathematics, Huzhou Teachers College [2]College of Mathematics and Science, Xiamen University

出　　处：《Chinese Annals of Mathematics,Series B》2013年第4期623-638,共16页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11101139,11271124);the Natural Science Foundation of Zhejiang Province(Nos.Y6090036,Y6100219);the Foundation of Creative Group in Universities of Zhejiang Province(No.T200924)

摘　　要：Let Ω be a bounded domain in Rnwith a smooth boundary, and let h p,q be the space of all harmonic functions with a finite mixed norm. The authors first obtain an equivalent norm on h p,q, with which the definition of Carleson type measures for h p,q is obtained. And also, the authors obtain the boundedness of the Bergman projection on h p,q which turns out the dual space of h p,q. As an application, the authors characterize the boundedness(and compactness) of Toeplitz operators T μ on h p,q for those positive finite Borel measures μ.

关 键 词：Carleson type measure Harmonic mixed norm space Toeplitz operator Bergman projection 

分 类 号：O177[理学—数学]