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Publication date: 25 August 2020

Toeplitz and slant Toeplitz operators on the polydisk

Munmun Hazarika and Sougata Marik

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Abstract

For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn). Besides giving a necessary and sufficient condition for an operator on L2(Tn) to be slant Toeplitz, we also establish several properties of slant Toeplitz operators.

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Arab Journal of Mathematical Sciences, vol. 27 no. 1

Type: Research Article

DOI:

ISSN: 1319-5166

Keywords

Slant Toeplitz operator
Laurent matrix of level n
Toeplitz matrix of level n
Hyponormal operator
primary 47B37
secondary 47B20

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