8 papers
Density of Neural Network Classes on Compact Subsets of Topological Vector Spaces
Mohammad Javad Baghbanbashi, Arash Ghorbanalizadeh
We prove density results for neural-network classes on compact sets \(K\subset X\), where \(X\) is a topological vector space whose continuous dual \(X^*\) separates points. Let \(…
The Stein-Weiss inequality in variable exponent Morrey spaces
David Cruz-Uribe, Arash Ghorbanalizadeh, Durvudkhan Suragan
In this paper we prove the Stein-Weiss inequality in variable exponent Morrey spaces over a bounded domain. Our work extends earlier results in the variable exponent Lebesgue and M…
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…
Discrete Hilbert Transform And Discrete Mikhlin Multiplier On Discrete Variable Lebesgue Space
Arash Ghorbanalizadeh, Reza Roohi Seraji
In this paper, by using continuous Hilbert transform and maximal operator boundedness property in the variable Lebesgue space we show that the discrete…
A New Approach to Weak-type Estimate for the Littlewood-Paley Operators and
Arash Ghorbanalizadeh, Monire Mikaeili Nia
In this study, weak type boundedness of square function is obtained by using Nazarov-Treil and Volberg technique. Also using this result, the weak type b…
Geometric Properties of Variable Mixed Lebesgue-Sequence Spaces
Arash Ghorbanalizadeh, Reza Roohi Seraji
We investigate the geometric properties of the variable mixed Lebesgue sequence space \(\ell^{q(\cdot)}(L^{p(\cdot)})\). Assuming that \(q_->1\), \(p_+<\infty\), and \(q(\cdot)\le…
On the reflexivity of the spaces of variable integrability and summability
Arash Ghorbanalizadeh, Reza Roohi Seraji, Yoshihiro Sawano
In this paper, we show that under the condition , the space is reflexive. In this way we give an answer to open probl…
Some remarks on the maximally modulated Calderón-Zygmund operator satisfying -Hörmander condition
Arash Ghorbanalizadeh, Sajjad Hasanvandi
In this work, by recent work of Lerner and Ombrasi (J. Geom. Anal. 30(1): 1011-1027, 2020), we show a maximally modulated singular integral operator which its kernel satisfying $L^…