Lipschitz spaces and Calderon-Zygmund operators associated to non-doubling measures

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In the setting of $\R^d$ 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 $0.$
10 pages

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Functional Analysis, Classical Analysis and ODEs, 42B20 26A33 47B38 47G10

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http://salesiana.dossiersoluciones.com/handle/123456789/66057

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212289
 http://arxiv.org/abs/math/0212289

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arXiv