This article is cited in 2 papers

On Multipliers of Fourier Series in the Haar System

N. T. Tleukhanova, A. N. Bashirova

Eurasian National University named after L.N. Gumilyov, Nur-Sultan

Abstract: A complete description of multipliers of Fourier–Haar series in Lorentz spaces is given. Necessary and sufficient conditions for sequences of complex numbers to belong to the class $m(L_{p,r}\to L_{q,s})$ of multipliers of Fourier–Haar series are obtained.

Keywords: Fourier series, Haar system, multipliers of Fourier series, net spaces, Lorentz space.

UDC: 517.51

Received: 10.08.2020

DOI: 10.4213/mzm12865

 English version: Mathematical Notes, 2021, 109:6, 940–947

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