Singh, S., Gupta, A. (2017). $k$th-order slant Toeplitz operators on the Fock space. Advances in Operator Theory, 2(3), 318-333. doi: 10.22034/aot.1703-1133
Shivam Kumar Kumar Singh; Anuradha Gupta. "$k$th-order slant Toeplitz operators on the Fock space". Advances in Operator Theory, 2, 3, 2017, 318-333. doi: 10.22034/aot.1703-1133
Singh, S., Gupta, A. (2017). '$k$th-order slant Toeplitz operators on the Fock space', Advances in Operator Theory, 2(3), pp. 318-333. doi: 10.22034/aot.1703-1133
Singh, S., Gupta, A. $k$th-order slant Toeplitz operators on the Fock space. Advances in Operator Theory, 2017; 2(3): 318-333. doi: 10.22034/aot.1703-1133
$k$th-order slant Toeplitz operators on the Fock space
1Ph. D. Scholar, Department of Mathematics, University of Delhi, Delhi, India
2Associate Professor, Department of Mathematics, Delhi College of Arts and Commerce, University of Delhi, Delhi-110023, India
Abstract
The notion of slant Toeplitz operators $B_\phi$ and $k$th-order slant Toeplitz operators $B_\phi^k$ on the Fock space is introduced and some of its properties are investigated. The Berezin transform of slant Toeplitz operator $B_\phi$ is also obtained. In addition, the commutativity of $k$th-order slant Toeplitz operators with co-analytic and harmonic symbols is discussed.