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On Multipliers of Fourier Series in the Haar System
Mathematical Notes ( IF 0.6 ) Pub Date : 2021-07-06 , DOI: 10.1134/s0001434621050278
N. T. Tleukhanova 1 , A. N. Bashirova 1
Affiliation  

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.



中文翻译:

Haar系统中傅立叶级数的乘法器

摘要

给出了洛伦兹空间中傅立叶-哈尔级数的乘法器的完整描述。得到复数序列属于傅立叶-哈尔级数乘子类\(m(L_{p,r}\to L_{q,s})\)的充要条件。

更新日期:2021-07-06
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