Invertible Toeplitz Operators Products on the Bergman Space of the Polydisk

查看全文 作　　者：Zhiling [1,2]SUN;Yufeng [1]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》索引2012年第32卷第5期,共11页 基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10971020) 摘　　要：We prove a reverse Hlder 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 Tf Tg are bounded invertible Toeplitz operators. 关 键 词：BERGMAN空间 可逆算子 产品 Toeplitz算子 多圆盘 笛卡尔积 解析函数 平方可积