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 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.