Interpolation of Besov spaces and applications

Abstract

We define the analytic Besov spaces on a bounded symmetric domain associated with a rearrangement invariant space, give a description in terms of certain differential operators, prove an interpolation theorem and find their dual space; finally, as an application we formulate necessary and sufficient onditions in order to little Hankel operator H_f belongs to S_E , the Schatten ideal associated with a given rearrangement invariant sequence space E.