On multipliers of mixed-norm analytic F^{p,q} type spaces on the unit polydisk

preprint2012arXivOpen access

Abstract

We describe certain new spaces of coefficient multipliers of analytic Lizorkin-Triebel Fαp,qF^{p,q}_α type spaces in the unit polydisk with some restrictions on parameters.This extends some previously known assertions on coefficient multipliers in classical Bergman type spaces in the unit disk.

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