Holomorphic Functions on the Mixed Norm Spaces on the Polydisc II

Abstract

The paper continues the investigation of holomorphic mixed norm spaces Ap,q ω in the unit polydisc of n. We prove that a mixed norm is equivalent to a “derivative norm” for all 0<p≤∞,0<q<∞ and a large class of weights ω. As an application, we prove that pluriharmonic conjugation is bounded in these mixed norm spaces.