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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 471–479 (Mi jsfu280)  
This article is cited in 1 scientific paper (total in 1 paper)

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

Romi F. Shamoyana, Miloš Arsenovićb

a Bryansk University, Bryansk, Russia
b Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
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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.
Received: 03.04.2012
Received in revised form: 17.05.2012
Accepted: 17.06.2012
Document Type: Article
UDC: 517.5
Language: English
Citation: Romi F. Shamoyan, Miloš Arsenović, “On multipliers of holomorphic $F^{p,q}_\alpha$ type spaces on the unit polydisc”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 471–479
Citation in format AMSBIB
\Bibitem{ShaArs12}
\by Romi~F.~Shamoyan, Milo{\v s}~Arsenovi\'c
\paper On multipliers of holomorphic $F^{p,q}_\alpha$ type spaces on the unit polydisc
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 471--479
\mathnet{http://mi.mathnet.ru/jsfu280}
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    • This publication is cited in the following 1 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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