10 citations · 25 across the 12 of their papers we have counts for
5 papers · 1 filter
On -integrability of functions with general monotone Fourier coefficients
Askhat Mukanov, Erlan Nursultanov
We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy-Littlewood-t…
Fourier inequalities in Morrey and Campanato spaces
Alberto Debernardi Pinos, Erlan Nursultanov, Sergey Tikhonov
We study norm inequalities for the Fourier transform, namely, \begin{equation}\label{introduction} \|\widehat f\|_{X_{p,q}^λ} \lesssim \|f\|_{Y}, \end{equation} where is either…
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…
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_{…
Weighted norm inequalities for convolution and Riesz potential
Erlan Nursultanov, Sergey Tikhonov
In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the p…