2021/06/07 by Liu, Shenyu, Wu, Huoxiong, Yang, Dongyong · 1 citation
#42B20 #42B35 #46B70 #47B38 #Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2106.03295
This note is devoted to the study of Hytönen's extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight setting are obtained. As applications, we obtain two-weight compactness of commutators of Calderón--Zygmund operators, fractional integrals and bilinear Calderón--Zygmund operators.