$k^{th}$-order essentially slant weighted Toeplitz operators
Commun. Korean Math. Soc. 2019 Vol. 34, No. 4, 1229-1243
https://doi.org/10.4134/CKMS.c180447
Published online October 31, 2019
Anuradha Gupta, Shivam Kumar Singh
University of Delhi; University of Delhi
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.
Keywords : weighted Toeplitz operators, $k^{th}$-order slant Toeplitz operators, $k^{th}$-order essentially slant weighted Toeplitz operators, Fredholm operators
MSC numbers : Primary 47B35; Secondary 47B38
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