Little Hankel Operators on the Weighted Bergman Space of the Unit Ball

作     者：ZHANG KAN LU YU-FENG LIU CHAO-MEI 

作者机构：School of Mathematical SciencesDalian University of TechnologyDalian116024 College of SciencesShenyang Agricultural UniversityShenyang110866 School of ScienceDalian Jiaotong UniversityDalian116028 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2010年第26卷第4期

页      面：304-312页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The NSF (10671028) of China 

主　　题：weighted Bergman space little Hankel operator unit ball 

摘      要：In this paper we mainly consider little Hankel operators with squareintegrable symbols on the weighted Bergman spaces of the unit ball.We obtain that Schatten class of little Hankel operators is equivalent to Schatten class of positive Toeplitz operators under the conditions that SMO（f） ∈ L p/2 （B n,dλ） and 2 ≤ p ∞,which is very important to research the relation between Toeplitz operators and little Hankel operators.