Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces

This paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces. As an application, we further obtain the weak type estimates of the Hardy–Littlewood maximal operator on the local Morrey spaces with variable exponents and the homogeneous Herz-type spaces with variable exponents.

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Publication Details

Journal
Results in Applied Mathematics
Published
2025-06-24
DOI
https://doi.org/10.1016/j.rinam.2025.100606
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces

Hongliang Li, Jiang Zhou
Results in Applied Mathematics
Advanced Harmonic Analysis Research
article

Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces

Hongliang Li, Jiang Zhou
article en

Abstract

This paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces. As an application, we further obtain the weak type estimates of the Hardy–Littlewood maximal operator on the local Morrey spaces with variable exponents and the homogeneous Herz-type spaces with variable exponents.

Results in Applied MathematicsVol. 27
Openalex Percentile: Top 78%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces — Hongliang Li, Jiang Zhou · Results in Applied Mathematics (2025) | TGRS Research Map | TGRS