Lipschitz spaces and Calderón-Zygmund operators associated to non-doubling measures
García-Cuerva Abengoza, José
Gatto, A. Eduardo
| Date: |
2005 |
| Abstract: |
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). |
| Rights: |
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| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Published in: |
Publicacions matemàtiques, V. 49 n. 2 (2005) p. 285-296, ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/128378
DOI: 10.5565/PUBLMAT_49205_02
The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles
Record created 2006-05-09, last modified 2024-12-02
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