Fefferman's Inequality in Weighted Morrey Spaces

Nicky Kurnia Tumalun; Philotheus E. A. Tuerah; Derel F. Kaunang; Marvel G. Maukar

doi:10.37256/cm.6320255928

Fefferman's Inequality in Weighted Morrey Spaces

Authors

Nicky Kurnia Tumalun Mathematics Department, Universitas Negeri Manado, Minahasa, 95618, Indonesia https://orcid.org/0000-0003-2710-6908
Philotheus E. A. Tuerah Mathematics Department, Universitas Negeri Manado, Minahasa, 95618, Indonesia
Derel F. Kaunang Mathematics Department, Universitas Negeri Manado, Minahasa, 95618, Indonesia
Marvel G. Maukar Mathematics Department, Universitas Negeri Manado, Minahasa, 95618, Indonesia

DOI:

https://doi.org/10.37256/cm.6320255928

Keywords:

Morrey spaces, weight, weighted Morrey spaces, Fefferman's inequality, maximal operator

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 L^p,κ(w), we prove that there exists a positive constant C such that the following inequality holds

for every ϕ ∈ C₀^∞(Rⁿ).

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Published

2025-04-27

How to Cite

Tumalun NK, Tuerah PEA, Kaunang DF, Maukar MG. Fefferman’s Inequality in Weighted Morrey Spaces. Contemp. Math. [Internet]. 2025 Apr. 27 [cited 2025 Jun. 22];6(3):2726-37. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5928

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Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.