Work

Characterization of the boundedness of the discrete Fractional maximal operator between weighted in Lorentz sequence spaces

Year: 2026

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06124

Authors: Gogatishvili, Amiran, Bokayev, Nurzhan A., Kuzeubayeva, Nurgul K.

Institutions: Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Grantová Agentura České Republiky, Ministry of Education and Science of the Republic of Kazakhstan, Shota Rustaveli National Science Foundation

OpenAlex ID: W7220713564

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