On Multipliers of Fourier Series in the Haar System

2021

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DOI 10.1134/s0001434621050278
Data confidence 70 medium
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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.