Wavelet expansions for weighted, vector-valued BMO functions

2009/01/12 by Tuomas Hytönen, Hytönen, Tuomas, Oscar Salinas +3
Computer Science · Engineering · Mathematics · #42B35 #42C40 #46E40 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #math.FA #msc:42B35 #msc:42C40 #msc:46E40

paper · pdf · doi:10.48550/arxiv.0901.1577

14 pages, submitted for publication

arxiv created 2009/01/12 · openalex publication_date 2009/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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