Local real analysis in locally homogeneous spaces
Functional Analysis
2011-01-31 v1 Analysis of PDEs
Abstract
We introduce the concept of locally homogeneous space, and prove in this context L^p and Holder estimates for singular and fractional integrals, as well as L^p estimates on the commutator of a singular or fractional integral with a BMO or VMO function. These results are motivated by local a-priori estimates for subelliptic equations.
Cite
@article{arxiv.1101.5561,
title = {Local real analysis in locally homogeneous spaces},
author = {Marco Bramanti and Maochun Zhu},
journal= {arXiv preprint arXiv:1101.5561},
year = {2011}
}