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On l p-multipliers of functions analytic in the disk

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Functional Analysis and Its Applications Aims and scope

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.

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Authors and Affiliations

  1. Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Moscow, Russia

    V. V. Lebedev

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  1. V. V. Lebedev
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Correspondence to V. V. Lebedev.

Additional information

__________

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 48, No. 3, pp. 92–96, 2014

Original Russian Text Copyright © by V. V. Lebedev

This study was carried out within the National Research University Higher School of Economics’ Academic Fund Program in 2013–2014, research grant no. 12-01-0079.

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Lebedev, V.V. On l p-multipliers of functions analytic in the disk. Funct Anal Its Appl 48, 231–234 (2014). https://doi.org/10.1007/s10688-014-0065-9

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  • DOI: https://doi.org/10.1007/s10688-014-0065-9

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