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Sparse domination results for compactness on weighted spaces

  • Stockdale, Cody B. [1] ; Wick, Brett D. [1] ; Villarroya, Paco [2]
    1. [1] Washington University in St. Louis

      Washington University in St. Louis

      Estados Unidos

    2. [2] Temple University

      Temple University

      City of Philadelphia, Estados Unidos

  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 3, 2022, págs. 535-563
  • Idioma: inglés
  • DOI: 10.1007/s13348-021-00333-6
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • By means of appropriate sparse bounds, we deduce compactness on weighted L^p(w) spaces, 1p\infty, for all Calderón–Zygmund operators having compact extensions on L^2({\mathbb {R}}^n). Similar methods lead to new results on boundedness and compactness of Haar multipliers on weighted spaces. In particular, we prove weighted bounds for weights in a class strictly larger than the typical A_p class.


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