Pointwise estimates for rough operators with applications to Sobolev inequalities
Classical Analysis and ODEs
2024-01-05 v2
Abstract
We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities with an operator on the left-hand side.
Cite
@article{arxiv.2307.10417,
title = {Pointwise estimates for rough operators with applications to Sobolev inequalities},
author = {Cong Hoang and Kabe Moen and Carlos Pérez},
journal= {arXiv preprint arXiv:2307.10417},
year = {2024}
}
Comments
v2: typos corrected