On Tu-Toeplitzness of weighted composition operators on H2

被引：5
|
作者：
Jung, Sungeun [1 ]
Ko, Eungil [2 ]
机构：
[1] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, Gyeonggi Do, South Korea
[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
S-Toeplitz operator; weighted composition operator; hardy space; inner function;
D O I：
10.1080/17476933.2015.1033413
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that W-f,W-phi is T-u-Toeplitz if and only if C(phi)u = u, where u is a nonconstant inner function. We also provide necessary and sufficient conditions for T-u-Toeplitzness of W-f,W-phi* W-f,W-phi. Indeed, W-f,W-phi* W-f,W-phi is T-u-Toeplitz if and only if phi is an inner function. Finally, we study several conditions for the product Wf,phi Wf,phi* to be Toeplitz.
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页码：1522 / 1538
页数：17
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