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.