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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2014 Volume 48, Issue 3, Pages 92–96 (Mi faa3159)

Brief communications

On $l^p$-Multipliers of Functions Analytic in the Disk

V. V. Lebedev

Moscow State Institute of Electronics and Mathematics — Higher School of Economics

Abstract: We consider bounded analytic functions in domains generated by sets with the Littlewood–Paley property. We show that each such function is an $l^p$-multiplier.

Keywords: bounded analytic functions, $l^p$-multipliers, Littlewood–Paley property.

UDC: 517.948+513.8

Received: 22.03.2013

DOI: 10.4213/faa3159


 English version:
Functional Analysis and Its Applications, 2014, 48:3, 231–234

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