DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT POLYDISK

被引：0
|
作者：
Stevic, S. [1 ]
Jiang, Zh. J. [2 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade, Serbia
[2] Sichuan Univ Sci & Engn, Zigong, Sichuan, Peoples R China
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 02期
关键词：
weighted composition operator; weighted Bergman space; weighted-type space; compact operator; polydisk; BLOCH-TYPE SPACES; H-INFINITY; ANALYTIC-FUNCTIONS; BANACH-SPACES; BALL; NORMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let phi(1) and phi(2) be holomorphic self-maps of the unit polydisk D-N, and let u(1) and u(2) be holomorphic functions on D-N. We characterize the boundedness and compactness of the difference of weighted composition operators W-phi 1,(u1) and W-phi 2,W-u2 from the weighted Bergman space A((alpha) over right arrow)(p), 0 < p < infinity, (alpha) over right arrow = (alpha(1), ... , alpha(N)), alpha(j) > -1, j = 1, ... , N, to the weighted-type space H-v(infinity) of holomorphic functions on the unit polydisk D-N in terms of inducing symbols phi(1), phi(2), u(1), and u(2).
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页码：358 / 371
页数：14
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