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 $k^{th}$-order essentially slant weighted Toeplitz operators Commun. Korean Math. Soc. 2019 Vol. 34, No. 4, 1229-1243 https://doi.org/10.4134/CKMS.c180447Published 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 Downloads: Full-text PDF   Full-text HTML