Toeplitz Operators with Positive Measures on Harmonic Fock Spaces

Abstract

In this paper, we study the basic properties of Toeplitz Operators with positive measures $\hat{I}¼$ on harmonic Fock spaces. We prove equivalent conditions for boundedness, compactness and Schatten classes $S_p$ of $T_{\hat{I}}¼$ by using the methods of Berezin transform of operators.

12 pages