Wavelet expansions for weighted, vector-valued BMO functions
Functional Analysis
2009-01-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0901.1577,
title = {Wavelet expansions for weighted, vector-valued BMO functions},
author = {Tuomas Hytönen and Oscar Salinas and Beatriz Viviani},
journal= {arXiv preprint arXiv:0901.1577},
year = {2009}
}
Comments
14 pages, submitted for publication