42 citations · 74 across the 6 of their papers we have counts for
7 papers
Variable martingale Hardy-Lorentz-Karamata spaces and their applications in Fourier Analysis
Zhiwei Hao, Xinru Ding, Libo Li +1
In this paper, we introduce a new class of function spaces, which unify and generalize Lorentz-Karamata spaces, variable Lorentz spaces and other several classical function spaces.…
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…
Mixed martingale Hardy spaces
Kristóf Szarvas, Ferenc Weisz
In this paper we consider the martingale Hardy spaces defined with the help of the mixed $L_{\pv}$-norm. Five mixed martingale Hardy spaces will be investigated: $H_{\pv}^{s}$, $H_…
New Martingale Inequalities and Applications to Fourier Analysis
Guangheng Xie, Ferenc Weisz, Dachun Yang +1
Let be a probability space and be a Musielak-Orlicz function. In this article, the authors prove that the Doob max…
Variable Martingale Hardy Spaces and Their Applications in Fourier Analysis
Yong Jiao, Ferenc Weisz, Dejian Zhou +1
Let be a measurable function defined on a probability space satisfying . We investigate five…
Summability of Multi-Dimensional Trigonometric Fourier Series
Ferenc Weisz
We consider the summability of one- and multi-dimensional trigonometric Fourier series. The Fej{é}r and Riesz summability methods are investigated in detail. Different types of sum…
Novel interaction induced oscillations in correlated electron transport
F. Claro, J. F. Weisz, S. Curilef
The correlated motion of electrons in a one dimensional system with an externally applied longitudinal electric field is discussed. Within the tight binding model we show that in a…