Wavelet expansions for weighted, vector-valued BMO functions

Details Wavelet expansions for weighted, vector-valued BMO functions Wavelet expansions for weighted, vector-valued BMO functions

2009-01-12

arxiv.org/abs/0901.1577v1

Mathematics

Functional Analysis

14 pages, submitted for publication

Scientific paper

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.

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