10 citations · 25 across the 12 of their papers we have counts for
13 papers
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…
On Herz-Bochkarev limiting problem
Erlan Nursultanov, Arash Ghorbanalizadeh, Durvudkhan Suragan
This paper studies Hausdorff-Young-type inequalities within the framework of Lorentz spaces . Focusing on the dependence of the associated constants on the integrability p…
Convolution-type operators in grand Lorentz spaces
Erlan D. Nursultanov, Humberto Rafeiro, Durvudkhan Suragan
We introduce and study a novel grand Lorentz space-that we believe is appropriate for critical cases-that lies "between" the Lorentz-Karamata space and the recently defined grand L…
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…
Improved Stein inequalities for the Fourier transform
Erlan D. Nursultanov, Durvudkhan Suragan
In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extend…
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…
Interpolation properties of certain classes of net spaces
A. H. Kalidolday, E. D. Nursultanov
The paper studies the interpolation properties of net spaces , when is the set of dyadic cubes in , and also when is the family of all cubes with…
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_{…
Nikolskii inequality and functional classes on compact Lie groups
E. D. Nursultanov, M. V. Ruzhansky, S. Yu. Tikhonov
In this note we study Besov, Triebel-Lizorkin, Wiener, and Beurling function spaces on compact Lie groups. A major role in the analysis is played by the Nikolskii inequality.
Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove new inequalities describing the relationship between the "size" of a function on a compact homogeneous manifold and the "size" of its Fourier coefficients. T…
Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds
Erlan Nursultanov, Michael Ruzhansky, Sergey Tikhonov
In this paper we prove Nikolskii's inequality on general compact Lie groups and on compact homogeneous spaces with the constant interpreted in terms of the eigenvalue counting func…
Hardy-Littlewood inequalities and Fourier multipliers on SU(2)
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove a noncommutative version of Hardy-Littlewood inequalities relating a function and its Fourier coefficients on the group . As a consequence, we use it…
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…