A remark on the multipliers on spaces of Weak Products of functions

Abstract

Abstract If H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined by We prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.