On Hardy-Sobolev embedding
Analysis of PDEs
2009-07-24 v1
Abstract
Linear interpolation inequalities that combine Hardy's inequality with sharp Sobolev embedding are obtained using classical arguments of Hardy and Littlewood (Bliss lemma). Such results are equivalent to Caffarelli-Kohn-Nirenberg inequalities with sharp constants. A one-dimensional convolution inequality for the exponential density is derived as an application of these methods.
Cite
@article{arxiv.0907.3932,
title = {On Hardy-Sobolev embedding},
author = {William Beckner},
journal= {arXiv preprint arXiv:0907.3932},
year = {2009}
}
Comments
7 pages, AMSLaTex