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Sharp Matrix Weighted Strong Type Inequalities for the Dyadic Square Function

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Abstract

In this paper we refine the recent sparse domination of the integrated p = 2 matrix weighted dyadic square function by T. Hytonen, S. Petermichl, and A. Volberg to prove a pointwise sparse domination of general matrix weighted dyadic square functions. We then use this to prove sharp two matrix weighted strong type inequalities for matrix weighted dyadic square functions when 1 < p ≤ 2.

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  1. University at Albany, SUNY, Albany, NY, 12159, USA

    Joshua Isralowitz

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  1. Joshua Isralowitz
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Correspondence to Joshua Isralowitz.

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Isralowitz, J. Sharp Matrix Weighted Strong Type Inequalities for the Dyadic Square Function. Potential Anal 53, 1529–1540 (2020). https://doi.org/10.1007/s11118-019-09816-5

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  • DOI: https://doi.org/10.1007/s11118-019-09816-5

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