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We describe certain new spaces of coefficient multipliers of analyticLizorkin-Triebel $F^{p,q}_{\alpha}$ type spaces in the unit polydisk with somerestrictions on parameters.This extends some previously known assertions oncoefficient multipliers in classical Bergman type spaces in the unit disk.

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