On Tu-Toeplitzness of weighted composition operators on H2

Sungeun Jung; Eungil Ko

doi:10.1080/17476933.2015.1033413

On T_u-Toeplitzness of weighted composition operators on H²

Sungeun Jung, Eungil Ko

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we show that (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) , where (Formula presented.) is a nonconstant inner function. We also provide necessary and sufficient conditions for (Formula presented.) -Toeplitzness of (Formula presented.). Indeed, (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) is an inner function. Finally, we study several conditions for the product (Formula presented.) to be Toeplitz.

Original language	English
Pages (from-to)	1522-1538
Number of pages	17
Journal	Complex Variables and Elliptic Equations
Volume	60
Issue number	11
DOIs	https://doi.org/10.1080/17476933.2015.1033413
State	Published - 2 Nov 2015

Bibliographical note

Funding Information:
The first author was supported by the Hankuk University of Foreign Studies Research Fund of 2015. The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [2009-0093827] and was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) [No. 2009-0083521].

Publisher Copyright:
© 2015 Taylor & Francis.

Keywords

S-Toeplitz operator
hardy space
inner function
weighted composition operator

Access to Document

10.1080/17476933.2015.1033413

Cite this

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title = "On Tu-Toeplitzness of weighted composition operators on H2 ",

abstract = "In this paper, we show that (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) , where (Formula presented.) is a nonconstant inner function. We also provide necessary and sufficient conditions for (Formula presented.) -Toeplitzness of (Formula presented.). Indeed, (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) is an inner function. Finally, we study several conditions for the product (Formula presented.) to be Toeplitz.",

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