On Hardy and Caffarelli-Kohn-Nirenberg inequalities
Classical Analysis and ODEs
2018-01-22 v1 Functional Analysis
Abstract
We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps from a sphere into itself and characterizations of Sobolev spaces.
Keywords
Cite
@article{arxiv.1801.06329,
title = {On Hardy and Caffarelli-Kohn-Nirenberg inequalities},
author = {Hoai-Minh Nguyen and Marco Squassina},
journal= {arXiv preprint arXiv:1801.06329},
year = {2018}
}