Off-diagonal matrix extrapolation for Muckenhoupt bases

2025/04/16 by David Cruz-Uribe, Cruz-Uribe, David, Fatih Şirin +1 · 1 citation
Mathematics · Engineering · #Mathematical Analysis and Transform Methods #Holomorphic and Operator Theory #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2504.12407

Abstract

In this paper we extend the theory of Rubio de Francia extrapolation for matrix weights, recently introduced by Bownik and the first author, 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 and show that all of the multiparameter bases have this property.

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• Recent results on matrix weighted norm inequalities

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