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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
Fulltext:
PDF file (179 kB)
References
English version:
Functional Analysis and Its Applications, 2014,
48
:3,
231–234
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024