Lipschitz spaces and Calderon-Zygmund operators associated to non-doubling measures
Jose Garcia-Cuerva, A. Eduardo Gatto
Abstract
In the setting of d with an n-dimensional measure μ, we give several characterizations of Lipschitz spaces in terms of mean oscillations involving μ. We also show that Lipschitz spaces are preserved by those Calderon-Zygmund operators T associated to the measure μ for which T(1) is the Lipschitz class 0.
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