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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

Funding Agency Grant Number
National Research University Higher School of Economics 12-01-0079


DOI: https://doi.org/10.4213/faa3159

Full text: PDF file (179 kB)
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English version:
Functional Analysis and Its Applications, 2014, 48:3, 231–234

Bibliographic databases:

UDC: 517.948+513.8
Received: 22.03.2013

Citation: V. V. Lebedev, “On $l^p$-Multipliers of Functions Analytic in the Disk”, Funktsional. Anal. i Prilozhen., 48:3 (2014), 92–96; Funct. Anal. Appl., 48:3 (2014), 231–234

Citation in format AMSBIB
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