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.

引用

页码：1522 / 1538

页数：17

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