Off-diagonal matrix extrapolation for Muckenhoupt bases

Authors

  • David Cruz-Uribe OFS University of Alabama, Department of Mathematics
  • Fatih Şirin Haliç University, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.176290

Keywords:

Convex-set valued functions, maximal operators, off-diagonal inequalities, Muckenhoupt weights, matrix weights, Rubio de Francia extrapolation

Abstract

In this paper we extend the theory of Rubio de Francia extrapolation for matrix weights, recently introduced by Bownik and the first author (2022), to off-diagonal extrapolation. We also show that the theory of matrix weighted extrapolation can be extended to matrix \(A_p\) classes defined with respect to a general basis, provided that a version of the Christ–Goldberg maximal operator is assumed to be bounded. Finally, we extend a recent result by Vuorinen (2024) and show that all of the multiparameter bases have this property.

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Published

2025-10-14

Issue

Vol. 50 No. 2 (2025)

Section

Articles

License

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons License

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

How to Cite

Off-diagonal matrix extrapolation for Muckenhoupt bases. (2025). Annales Fennici Mathematici, 50(2), 577–609. https://doi.org/10.54330/afm.176290