5 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…
Some Remarks on the Vector-Valued Variable Exponent Lebesgue Spaces
Arash Ghorbanalizadeh, Reza Roohi Seraji
In this paper, we investigate the geometric properties of the variable mixed Lebesgue-sequence space as a Banach space. We show that, if $ 1<q_-,p_…