Geodesic
Multipliers of Fourier--Haar series in Lorentz spaces
Eurasian mathematical journal, Tome 13 (2022) no. 4, pp. 82-87

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This article provides a complete description of the multipliers of the Fourier series along the Haar system in the Lorentz spaces $L_{p,r}$. Necessary and sufficient conditions are obtained ensuring that $\{\lambda_k^j\}_{k=0,j=1}^{\infty,2^k}\in m(L_{p,r}\to L_{q,s})$. This work generalizes and supplements the result of work [8]. 
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     author = {N. T. Tleukhanova and A. N. Bashirova},
     title = {Multipliers of {Fourier--Haar} series in {Lorentz} spaces},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2022_13_4_a6/}
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N. T. Tleukhanova; A. N. Bashirova. Multipliers of Fourier--Haar series in Lorentz spaces. Eurasian mathematical journal, Tome 13 (2022) no. 4, pp. 82-87. http://geodesic.mathdoc.fr/item/EMJ_2022_13_4_a6/