Mapping Properties Of Bargmann Inverse Transform On F~p

In this paper,the mapping properties of the Bargmann inverse transform on Fock spaces Fp(1 ≤p ≤∞)are considered.We focus on the relationship between the image of Fp under the Bargmann inverse transform and Lt(R)and the boundedness of the mapping.At the same time,we introduce a family of Banach spaces Sp(R)and give a complete characterization for the image set of Fp under the Bargmann inverse transform.