Extrapolation of compactness on weighted Morrey spaces
Tom 265 / 2022
Studia Mathematica 265 (2022), 177-195
MSC: Primary 47B38; Secondary 42B20, 42B35, 46B70.
DOI: 10.4064/sm210607-20-9
Opublikowany online: 28 February 2022
Streszczenie
In a previous work, “compact versions” of Rubio de Francia’s weighted extrapolation theorem were proved, which allow one to extrapolate the compactness of a linear operator from just one space to the full range of weighted Lebesgue spaces where this operator is bounded. In this paper, we extend these results to the setting of weighted Morrey spaces. As applications, we easily obtain new results on the weighted compactness of commutators of Calderón–Zygmund singular integrals, rough singular integrals and Bochner–Riesz multipliers.
