Resumen de Sparse domination results for compactness on weighted spaces

Cody B. Stockdale, Brett D. Wick, Paco Villarroya

• 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.