The sharp higher order Lorentz--Poincar\'e and Lorentz--Sobolev inequalities in the hyperbolic spaces
Functional Analysis
2020-01-14 v1
Abstract
In this paper, we study the sharp Poincar\'e inequality and the Sobolev inequalities in the higher order Lorentz--Sobolev spaces in the hyperbolic spaces. These results generalize the ones obtained in \cite{Nguyen2020a} to the higher order derivatives and seem to be new in the context of the Lorentz--Sobolev spaces defined in the hyperbolic spaces.
Keywords
Cite
@article{arxiv.2001.03950,
title = {The sharp higher order Lorentz--Poincar\'e and Lorentz--Sobolev inequalities in the hyperbolic spaces},
author = {Van Hoang Nguyen},
journal= {arXiv preprint arXiv:2001.03950},
year = {2020}
}
Comments
18 pages, comments are welcome