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arXiv · 2202.09366

k^{th} order Slant Hankel Operators on the Polydisk

M. P. Singh·Oinam Nilbir Singh
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Abstract

In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hankel and discuss their commutative, compactness, hyponormal and isometric property.

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BibTeXRIS

M. P. Singh, Oinam Nilbir Singh. 2022-02-18. k^{th} order Slant Hankel Operators on the Polydisk. https://doi.org/10.1063/5.0137024

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