Fefferman's Inequality in Weighted Morrey Spaces

We prove Fefferman’s inequality in weighted Morrey spaces in this paper. More precisely, for the weight w belonging to booth A1 and ∆2, κ = (n−2p)/n, and f belonging to the weighted Morrey space Lp,κ(w), we prove that there exists a positive constant C such that the following inequality holdsfor every ϕ ∈ C0∞(Rn).

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Publication Details

Journal
Contemporary Mathematics
Published
2025-04-25
DOI
https://doi.org/10.37256/cm.6320255928
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Fefferman's Inequality in Weighted Morrey Spaces

Derel F. Kaunang, Marvel G. Maukar, Nicky Kurnia Tumalun, Philotheus E. A. Tuerah
Contemporary Mathematics
Advanced Harmonic Analysis Research
article

Fefferman's Inequality in Weighted Morrey Spaces

Derel F. Kaunang, Marvel G. Maukar, Nicky Kurnia Tumalun, Philotheus E. A. Tuerah
article en

Abstract

We prove Fefferman’s inequality in weighted Morrey spaces in this paper. More precisely, for the weight w belonging to booth A1 and ∆2, κ = (n−2p)/n, and f belonging to the weighted Morrey space Lp,κ(w), we prove that there exists a positive constant C such that the following inequality holdsfor every ϕ ∈ C0∞(Rn).

Contemporary Mathematics
Openalex Percentile: Top 87%
Advanced Harmonic Analysis Research
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Fefferman's Inequality in Weighted Morrey Spaces — Derel F. Kaunang, Marvel G. Maukar, et al. · Contemporary Mathematics (2025) | TGRS Research Map | TGRS