arXiv:2106.03295 Abstract | arXiv Analytics

arXiv:2106.03295 [math.AP]Abstract References Reviews Resources

A note on extrapolation of compactness

Published 2021-06-07Version 1

This note is devoted to the study of Hyt\"{o}nen'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\'{o}n--Zygmund operators, fractional integrals and bilinear Calder\'{o}n--Zygmund operators.

Comments: 13pages

Categories: math.AP

Subjects: 47B38, 46B70, 42B35, 42B20

Keywords: weighted lebesgue spaces, extrapolation theorem, linear operators, two-weight compactness, fractional integrals

Related articles: Most relevant | Search more

arXiv:1309.6199 [math.AP] (Published 2013-09-24, updated 2013-09-28)

Global gradient estimates in weighted Lebesgue spaces for parabolic operators

Sun-Sig Byun, Dian K. Palagachev, Lubomira G. Softova

arXiv:2405.16448 [math.AP] (Published 2024-05-26)

Understanding of linear operators through Wigner analysis

Elena Cordero, Gianluca Giacchi, Edoardo Pucci

arXiv:2003.07265 [math.AP] (Published 2020-03-16)