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http://dx.doi.org/10.4134/JKMS.j180324

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)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.3, 2019 , pp. 703-721 More about this Journal
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.
Keywords
Toeplitz operator; Hankel operator; slant Toeplitz operator; slant Hankel operator; H-Toeplitz operator;
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