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

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

2002-12-20

arxiv.org/abs/math/0212289v1

Mathematics

Functional Analysis

10 pages

Scientific paper

In the setting of $\R^d$ with an $n-$dimensional measure $\mu,$ we give
several characterizations of Lipschitz spaces in terms of mean oscillations
involving $\mu.$ We also show that Lipschitz spaces are preserved by those
Calderon-Zygmund operators $T$ associated to the measure $\mu$ for which T(1)
is the Lipschitz class $0.$

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