Invertible Toeplitz Operators Products on the Bergman Space of the Polydisk  

作　　者：Zhiling SUN Yufeng LU 

机构地区：[1]School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China [2]College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia 028000, P. R. China

出　　处：《Journal of Mathematical Research with Applications》2012年第5期543-553,共11页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10971020)

摘　　要：We prove a reverse HSlder inequality by using the cartesian product of dyadic rectangles and the dyadic cartesian product maximal function on Bergman space of polydisk. Next, we further describe when for which square integrable analytic functions f and g on the polydisk the densely defined products TfTg are bounded invertible Toeplitz operators.We prove a reverse HSlder inequality by using the cartesian product of dyadic rectangles and the dyadic cartesian product maximal function on Bergman space of polydisk. Next, we further describe when for which square integrable analytic functions f and g on the polydisk the densely defined products TfTg are bounded invertible Toeplitz operators.

关 键 词：Toeplitz operators Bergman space POLYDISK reverse HSlder inequality. 

分 类 号：O177.3[理学—数学] O177.1[理学—基础数学]