A note on extrapolation of compactness
Abstract
This note is devoted to the study of Hyt\"onen'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 Calder\'on--Zygmund operators, fractional integrals and bilinear Calder\'on--Zygmund operators.
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