$k$th-order slant Toeplitz operators on the Fock space

Document Type: Original Article


1 Ph. D. Scholar, Department of Mathematics, University of Delhi, Delhi, India

2 Associate Professor, Department of Mathematics, Delhi College of Arts and Commerce, University of Delhi, Delhi-110023, India


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.