From the 1 of 17 linked papers with an AI index.
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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…
One-dimensional integral Rellich type inequalities
Tohru Ozawa, Prasun Roychowdhury, Durvudkhan Suragan
The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality ver…
Grand Net Spaces and Applications to Integral Operators
Durvudkhan Suragan, Muhammad Asad Zaighum
This paper introduces the concept of grand net spaces, a new framework that provides a unified setting for studying various function spaces. Building on the seminal works of [8] an…
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…
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…
Improvement of the discrete Hardy inequality
Prasun Roychowdhury, Durvudkhan Suragan
We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our a…