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Recent results on matrix weighted norm inequalities

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arxiv 2508.13352 v1 pith:XMAUOW5F submitted 2025-08-18 math.CA

Recent results on matrix weighted norm inequalities

classification math.CA
keywords matrixrecentresultsweightedbodycasecomparablecontext
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In this paper we give an overview of recent work on matrix weights, with particular emphasis on convex body sparse domination for singular integrals, Rubio de Francia extrapolation, and Jones factorization. To provide context and motivation, we survey the comparable results in the scalar weighted case.

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  1. Variable Muckenhoupt $A_\infty$ Weights

    math.FA 2026-05 unverdicted novelty 6.0

    Defines variable A_{p(·),∞} weights and shows they are equivalent to the reverse Hölder condition in variable Lebesgue spaces, with matrix versions and dimension estimates for reducing operators.