Resumen de Lipschitz spaces and Calderón-Zygmund operators associated to non-doubling measures
A. Eduardo Gatto, José García-Cuerva Abengoza 
In the setting of a metric measure space $(\mathbb{X}, d, \mu)$ with an $n$-dimensional Radon measure $\mu$, we give a necessary and sufficient condition for the boundedness of Calderón-Zygmund operators associated to the measure $\mu$ on Lipschitz spaces on the support of $\mu$. Also, for the Euclidean space $\mathbb{R}^d$ with an arbitrary Radon measure $\mu$, we give several characterizations of Lipschitz spaces on the support of $\mu$, $\mathcal{L}ip(\alpha, \mu)$, in terms of mean oscillations involving $\mu$. This allows us to view the "regular" $\mathit{BMO}$ space of X. Tolsa as a limit case for $\alpha\to 0$ of the spaces $\mathcal{L}ip(\alpha, \mu)$.
