Variational estimates for paraproducts
Classical Analysis and ODEs
2010-09-28 v1
Abstract
We generalize a family of variation norm estimates of Lepingle with endpoint estimates of Bourgain and Pisier-Xu to a family of variational estimates for paraproducts, both in the discrete and the continuous setting. This expands on work of Friz and Victoir, our focus being on the continuous case and an expanded range of variation exponents.
Cite
@article{arxiv.1009.5187,
title = {Variational estimates for paraproducts},
author = {Yen Do and Camil Muscalu and Christoph Thiele},
journal= {arXiv preprint arXiv:1009.5187},
year = {2010}
}
Comments
23 pages