The commutants of analytic Toeplitz operators for several complex variables  

作　　者：Cao GuangFu Huang Sui 

机构地区：[1]Guangzhou Univ, Dept Math, Guangzhou 510006, Guangdong, Peoples R China

出　　处：《Science China Mathematics》2010年第7期1873-1880,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.110671041, 10971040)

摘　　要：It is proved that if is a nonconstant bounded analytic function on the unit ball B n and continuous on S n in C n , and ψ is a bounded measurable function on S n such that T * and T ψ commute, then ψ is the boundary value of an analytic function on B n . In addition, the commutants of two Toeplitz operators are also discussed.It is proved that if is a nonconstant bounded analytic function on the unit ball B n and continuous on S n in C n , and ψ is a bounded measurable function on S n such that T * and T ψ commute, then ψ is the boundary value of an analytic function on B n . In addition, the commutants of two Toeplitz operators are also discussed.

关 键 词：TOEPLITZ OPERATOR COMMUTANT of AN OPERATOR 

分 类 号：N[自然科学总论]