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
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Resumen
- By means of appropriate sparse bounds, we deduce compactness on weighted Lp(w) spaces, 1?p?∞, for all Calderón–Zygmund operators having compact extensions on L2(Rn). 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 Ap class.