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Lipschitz spaces and Calderón-Zygmund operators associated to non-doubling measures
García-Cuerva, José
Gatto, A. Eduardo

Data: 2005
Resum: In the setting of a metric measure space (X, d, µ) with an n-dimensional Radon measure µ, we give a necessary and sufficient condition for the boundedness of Calder´n-Zygmund operators associated to the measure µ on Lipschitz spaces on the support of µ. Also, for the Euclidean space Rd with an arbitrary Radon measure µ, we give several characterizations of Lipschitz spaces on the support of µ, Lip(α, µ), in terms of mean oscillations involving µ. This allows us to view the “regular” BMO space of X. Tolsa as a limit case for α → 0 of the spaces Lip(α, µ).
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 49 n. 2 (2005) p. 285-296, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_49205_02

12 p, 140.0 KB

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