# kth-ORDER ESSENTIALLY SLANT WEIGHTED TOEPLITZ OPERATORS

• Gupta, Anuradha (Department of Mathematics Delhi college of Arts and Commerce University of Delhi) ;
• Singh, Shivam Kumar (Department of Mathematics University of Delhi)
• Received : 2018.10.28
• Accepted : 2018.12.27
• Published : 2019.10.31

#### Abstract

The notion of $k^{th}$-order essentially slant weighted Toeplitz operator on the weighted Lebesgue space $L^2({\beta})$ is introduced and its algebraic properties are investigated. In addition, the compression of $k^{th}$-order essentially slant weighted Toeplitz operators on the weighted Hardy space $H^2({\beta})$ is also studied.

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