Doubling measures with doubling continuous part
- Autores: Man-Li Lou, Min Wu
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3585-3589
- Idioma: inglés
- DOI: 10.1090/s0002-9939-10-10358-x
- Enlaces
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Resumen
We prove that every compact subset of of positive Lebesgue measure carries a doubling measure which is not purely atomic. Also, we prove that for every compact and nowhere dense subset of without isolated points and for every doubling measure on there is a countable set with and a doubling measure on such that . This shows that there are many doubling measures whose continuous part is doubling.
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