Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
Classical Analysis and ODEs
2010-09-03 v1 Analysis of PDEs
Abstract
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in admit a better range of power weights if we restrict ourselves to the space of radially symmetric functions.
Keywords
Cite
@article{arxiv.1009.0484,
title = {Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions},
author = {Pablo L. De Nápoli and Irene Drelichman and Ricardo G. Durán},
journal= {arXiv preprint arXiv:1009.0484},
year = {2010}
}