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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…