Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 1 (January 2024) > Article
Gopal Datt
University of Delhi
India
Shesh Kumar Pandey
University of Delhi
India
Published on 5 January 2024 DOI : 10.21494/ISTE.OP.2023.1046
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