The Berezin symbol and multipliers of functional Hilbert spaces

Semra Kiliç
1995 Proceedings of the American Mathematical Society  
This paper focuses on a multiplicative property of the Berezin symbol A , of a given linear map A : %? t-> %?, where %? is a functional Hubert space of analytic functions. We show AB = AB for all B in 3S{Sf) if and only if A is a multiplication operator Mv , where <p is a multiplier. We also present a version of this result for vector-valued functional Hubert spaces.
doi:10.1090/s0002-9939-1995-1277120-3 fatcat:4cajjr2ytveq5et5qga6df3wha