3 papers
math.FA2025
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…
math.FA2025
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…
math.FA2024
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…