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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (52), 2006/

Factorization theorems for some spaces of analytic functions.

Authors: R.F. Shamoyan

Abstract

We provide several factorization theorems for different subspaces of the space of all analytic functions in the unit disk, in particular we prove a strong factorization theorem for Classical Hardy classes with Muckenhoupt weights. Proofs are based on a new weighted version of Coifman-Meyer-Stein theorem on factorization of tent spaces and on properties of an extremal outher function,which was constructed by E. Dynkin.

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