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math.CA2022
Hardy-Littlewood-type theorems for Fourier transforms in
Mikhail Dyachenko, Erlan Nursultanov, Sergey Tikhonov +1
We obtain Fourier inequalities in the weighted spaces for any involving the Hardy-Cesàro and Hardy-Bellman operators. We extend these results to product Hardy sp…
math.CA2020★ 1 cited
The Hardy-Littlewood theorem for double Fourier-Haar series from Lebesgue spaces with mixed metric and from net spaces
A. N. Bashirova, E. D. Nursultanov
In terms of the Fourier-Haar coefficients, a criterion is obtained for the function to belong to the net space and to the Lebesgue space $L_{…