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

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.",

keywords = "S-Toeplitz operator, hardy space, inner function, weighted composition operator",

author = "Sungeun Jung and Eungil Ko",

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N2 - 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.

AB - 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.

KW - S-Toeplitz operator

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KW - weighted composition operator

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