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 (unauthenticated)
  • 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 Lp,κ(w), we prove that there exists a positive constant C such that the following inequality holds
mceclip0.png
for every ϕ ∈ C0∞(Rn).

References

Downloads

Published

2025-04-27

Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025), 2726-3845

Section

Research Article

License

Copyright (c) 2025 Nicky Kurnia Tumalun, et al.

Creative Commons License

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

How to Cite

1.
Fefferman’s Inequality in Weighted Morrey Spaces. Contemp. Math. [Internet]. 2025 Apr. 27 [cited 2025 Dec. 24];6(3):2726-37. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5928