MIXED-NORM SPACES AND INTERPOLATION

Let D be a bounded strictly pseudoconvex domain of C(n) with smooth bo undary. We consider the weighted mixed-norm spaces A(delta,k)p,q(D) of holomorphic functions with norm \\f\\p,q,delta,k = [GRAPHICS] We prov e that these spaces can be obtained by real interpolation between Berg man-Sobolev spaces A(delta,k)p (D) and we give results about real and complex interpolation between them. We apply these results to prove th at A(delta,k)p,q (D) is the intersection of a Besov space B(s)p,q (D) with the space of holomorphic functions on D. Further, we obtain sever al properties of the mixed-norm spaces.