Marijan Markovic
Published 2011-05-22, updated 2011-09-15Version 3
In this paper we prove an isoperimetric inequality for holomorphic functions in the unit polydisc $\mathbf U^n$. As a corollary we derive an inclusion relation between weighted Bergman and Hardy spaces of holomorphic functions in the polydisc which generalizes the classical Hardy--Littlewood relation $H^p\subseteq A^{2p}$. Also, we extend some results due to Burbea.
Comments: 13 pages; Proc. Amer. Math. Soc. 2011
Hardy spaces of holomorphic functions for domains in $\mathbb C^n$ with minimal smoothness
Hardy Spaces and Boundary Conditions from the Ising Model
A note on composition operators on Hardy spaces of the polydisk
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