On general local Tb theorems
Classical Analysis and ODEs
2013-01-15 v1
Abstract
In this paper, local Tb theorems are studied both in the doubling and non-doubling situation. We prove a local Tb theorem for the class of upper doubling measures. With such general measures, scale invariant testing conditions are required (L^{\infty} or BMO). In the case of doubling measures, we also modify the general non-homogeneous method of proof to yield a new proof of the local Tb theorem with L^2 type testing conditions.
Keywords
Cite
@article{arxiv.1011.0642,
title = {On general local Tb theorems},
author = {Tuomas Hytönen and Henri Martikainen},
journal= {arXiv preprint arXiv:1011.0642},
year = {2013}
}
Comments
31 pages