Haarlet Analysis of Lipschitz Regularity in Metric Measure Spaces
Abstract
In this note we shall give a simple characterization of Lipschitz
spaces on spaces of homogeneous type via Haar coefficients. As a consequence of our main result we obtain a new proof of the equivalence of the Campanato and Lipschitz classes on space of homogeneous type due to Macías and Segovia.
spaces on spaces of homogeneous type via Haar coefficients. As a consequence of our main result we obtain a new proof of the equivalence of the Campanato and Lipschitz classes on space of homogeneous type due to Macías and Segovia.