Publications
Preprint · arXiv · October 5, 2026
Characterization of the boundedness of the discrete Fractional maximal operator between weighted in Lorentz sequence spaces
Амиран Гогатишвили, Nurzhan Bokayev, Nurgul Kuzeubayeva
Abstract
In this paper, we give the complete characterization of the boundedness of the discrete fractional maximal operator $M_γ$, defined on $\mathbb{Z}^n$, $n\in\mathbb{N}$, $γ\in [0,n)$, between the classical Lorentz sequence spaces $λ_p(v)$ and $λ_q(w)$, where $0
Advanced Harmonic Analysis ResearchApproximation Theory and Sequence SpacesMathematical Analysis and Transform Methodsboundedness characterizationdiscrete harmonic analysisweighted inequalities
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