Wavelet expansions for weighted, vector-valued BMO functions

Autor: Hytönen, Tuomas, Salinas, Oscar, Viviani, Beatriz
Rok vydání: 2009
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages, submitted for publication
Databáze: arXiv