Variational estimates for paraproducts

Details Variational estimates for paraproducts Variational estimates for paraproducts

2010-09-27

arxiv.org/abs/1009.5187v1

Mathematics

Classical Analysis and ODEs

23 pages

Scientific paper

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.

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