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In this paper we prove an isoperimetric inequality for holomorphic functionsin the unit polydisc $\mathbf U^n$. As a corollary we derive an inclusionrelation between weighted Bergman and Hardy spaces of holomorphic functions inthe polydisc which generalizes the classical Hardy--Littlewood relation$H^p\subseteq A^{2p}$. Also, we extend some results due to Burbea.

A Sharp inequality for holomorphic functions on the polydisc