Toeplitz Operators with Positive Measures on Harmonic Fock Spaces (2410.06538v1)

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