JournalsrmiVol. 37, No. 4pp. 1513–1538

Weak endpoint bounds for matrix weights

  • David Cruz-Uribe

    University of Alabama, Tuscaloosa, USA

  • Joshua Isralowitz

    University at Albany, SUNY, USA

  • Kabe Moen

    University of Alabama, Tuscaloosa, USA

  • Sandra Pott

    Lund University, Sweden

  • Israel P. Rivera-Ríos

    Universidad Nacional del Sur, Bahía Blanca, Argentina
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Abstract

We prove quantitative, matrix weighted, endpoint estimates for the matrix weighted Hardy–Littlewood maximal operator, Calderón–Zygmund operators, and commutators of CZOs with scalar BMO functions, when the matrix weight is in the class A introduced by M. Frazier and S. Roudenko. Even in the scalar case, our estimates are sharper than the results implicit in the literature.

Cite this article

David Cruz-Uribe, Joshua Isralowitz, Kabe Moen, Sandra Pott, Israel P. Rivera-Ríos, Weak endpoint bounds for matrix weights. Rev. Mat. Iberoam. 37 (2021), no. 4, pp. 1513–1538

DOI 10.4171/RMI/1237