Genuinely multilinear weighted estimates for singular integrals in product spaces
Classical Analysis and ODEs
2021-10-07 v2
Abstract
We prove genuinely multilinear weighted estimates for singular integrals in product spaces. The estimates complete the qualitative weighted theory in this setting. Such estimates were previously known only in the one-parameter situation. Extrapolation gives powerful applications -- for example, a free access to mixed-norm estimates in the full range of exponents.
Cite
@article{arxiv.2011.04459,
title = {Genuinely multilinear weighted estimates for singular integrals in product spaces},
author = {Kangwei Li and Henri Martikainen and Emil Vuorinen},
journal= {arXiv preprint arXiv:2011.04459},
year = {2021}
}
Comments
v2: incorporated referee comments, to appear in Adv. Math. 41 pages