J. Korean Math. Soc. 2019; 56(3): 703-721
Online first article February 12, 2019 Printed May 1, 2019
https://doi.org/10.4134/JKMS.j180324
Copyright © The Korean Mathematical Society.
Anuradha Gupta, Shivam Kumar Singh
University of Delhi; University of Delhi
The notion of slant H-Toeplitz operator $V_\phi$ on the Hardy space $H^2$ is introduced and its characterizations are obtained. It has been shown that an operator on the space $H^2$ is a slant H-Toeplitz if and only if its matrix is a slant H-Toeplitz matrix. In addition, the conditions under which slant Toeplitz and slant Hankel operators become slant H-Toeplitz operators are also obtained.
Keywords: Toeplitz operator, Hankel operator, slant Toeplitz operator, slant Hankel operator, H-Toeplitz operator
MSC numbers: Primary 47B35; Secondary 47B32
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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