Wavelet expansions for weighted, vector-valued BMO functions

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We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p=2 corresponds to the classical Carleson measure condition. Relations between the weighed BMO norm of a vector-valued function f:R->X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p is not 2.
14 pages, submitted for publication

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Functional Analysis, 42B35; 42C40; 46E40

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http://salesiana.dossiersoluciones.com/handle/123456789/215537

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.1577
 http://arxiv.org/abs/0901.1577

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arXiv