Research ArticleNo Access

Multivariate version of slant Toeplitz operators on the Lebesgue space

Shesh Kumar Pandey

https://orcid.org/0000-0001-9121-8838

Department of Mathematics, University of Delhi, Delhi 110007, India

E-mail Address: sheshkumar.1992@gmail.com

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and

Gopal Datt

Department of Mathematics, PGDAV College, University of Delhi, Delhi 110065, India

E-mail Address: gopal.d.sati@gmail.com

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https://doi.org/10.1142/S1793557121501527Cited by:3 (Source: Crossref)

Abstract

The paper introduces the $k$ $k$ th-order slant Toeplitz operator on the Lebesgue space of $n$ $n$ -torus, where $k = (k_{1}, k_{2}, \dots, k_{n})$ $k = (k_{1}, k_{2}, \dots, k_{n})$ such that $k_{t} \geq 2$ $k_{t} \geq 2$ for all $t$ $t$ . It investigates certain properties of $k$ $k$ th-order slant Toeplitz operators on the Lebesgue space $L^{2} (𝕋^{n})$ . The paper deals with a system of operator equations, characterizing the $k$ th-order slant Toeplitz operators. At the end, we discuss certain spectral properties of the considered operator.

Communicated by N.-C. Wong

Keywords:

AMSC: 47B35

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