Abstract

The paper continues the investigation of holomorphic mixed norm spaces A p,q 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 �. As an application, we prove that pluriharmonic conjugation is bounded in these mixed norm spaces. 2000 AMS Subject Classification: 32A37, 32A36.

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