# SLANT H-TOEPLITZ OPERATORS ON THE HARDY SPACE

• Gupta, Anuradha (Department of Mathematics Delhi college of Arts and Commerce University of Delhi) ;
• Singh, Shivam Kumar (Department of Mathematics University of Delhi)
• Accepted : 2018.08.13
• Published : 2019.05.01

#### Abstract

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.

#### Acknowledgement

Supported by : CSIR Research

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