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

Romi F. Shamoyan ; Miloš Arsenović

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 471-479.

Résumé

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.

Détail

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

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