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[FORTHCOMING] Sur la compression des opérateurs de Stant Toeplitz généralisés à H2(𝕋n)

[FORTHCOMING] On Compression of Generalized Slant Toeplitz Operators to H2(𝕋n)


Gopal Datt
University of Delhi
India

Shesh Kumar Pandey
University of Delhi
India



Validé le 26 août 2023   DOI : À venir

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In the paper, we introduce the notion of compression of generalized slant Toeplitz operators to the Hardy space of $$$n$$$-dimensional torus $$$\mathbb{T}^n$$$. It deals with characterizations of introduced operator with specific as well as general symbols. Certain algebraic and structural properties of considered operators are also investigated. Finally, we discuss few results related to essentially $$$k^{th}$$$-order $$$\lambda$$$-slant Toeplitz operator.

In the paper, we introduce the notion of compression of generalized slant Toeplitz operators to the Hardy space of $$$n$$$-dimensional torus $$$\mathbb{T}^n$$$. It deals with characterizations of introduced operator with specific as well as general symbols. Certain algebraic and structural properties of considered operators are also investigated. Finally, we discuss few results related to essentially $$$k^{th}$$$-order $$$\lambda$$$-slant Toeplitz operator.

Slant Toeplitz operator Lebesgue space Hardy space λ-slant Toeplitz operator Torus

Slant Toeplitz operator Lebesgue space Hardy space λ-slant Toeplitz operator Torus