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Marcinkiewicz Commutators with Lipschitz Functions in Non-homogeneous Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
Under the assumption that $\mu $ is a nondoubling measure, we study certain commutators generated by the Lipschitz function and the Marcinkiewicz integral whose kernel satisfies a Hörmander-type condition. We establish the boundedness of these commutators on the Lebesgue spaces, Lipschitz spaces, and Hardy spaces. Our results are extensions of known theorems in the doubling case.
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- Copyright © Canadian Mathematical Society 2012
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