Weak endpoint bounds for matrix weights

• Autores: David Cruz-Uribe, Joshua Isralowitz, Kabe Moen, Sandra Pott, Israel Pablo Rivera Rios
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 4, 2021, págs. 1513-1538
• Idioma: inglés
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• Resumen

  • 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 A1 introduced by M. Frazier and S. Roudenko. Even in the scalar case, our estimates are sharper than the results implicit in the literature.