Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2019; 34(4): 1229-1243

Online first article August 29, 2019      Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180447

Copyright © The Korean Mathematical Society.

$k^{th}$-order essentially slant weighted Toeplitz operators

Anuradha Gupta, Shivam Kumar Singh

University of Delhi; University of Delhi

Abstract

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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

Supported by: Support of CSIR Research Grant to second author [F.No. 09/045(1405)/2015-EMR-I] for carrying out the research work is fully
acknowledged.

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