Romi F. Shamoyan, Miloš Arsenović, “On multipliers of holomorphic <nobr>$F^{p,q}_\alpha$</nobr> type spaces on the unit polydisc”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 4,Pages <nobr>471

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On multipliers of holomorphic $F^{p,q}_\alpha$ type spaces on the unit polydisc

Romi F. Shamoyan^a, Miloš Arsenović^b

^a Bryansk University, Bryansk, Russia
^b Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Abstract: We describe certain new spaces of coefficient multipliers of analytic Lizorkin–Triebel $F^{p,q}_\alpha$ type spaces in the unit polydisc with some restriction on parameters. This extends some previously known assertions on coefficient multipliers in classical Bergman $A^p_\alpha$ spaces in the unit disk.

Keywords: multipliers, polydisc, analytic functions, analytic Lizorkin–Triebel spaces.

UDC: 517.5

Received: 03.04.2012
Received in revised form: 17.05.2012
Accepted: 17.06.2012

Language: English