Extremisers for the trace theorem on the sphere
Classical Analysis and ODEs
2014-09-23 v1
Abstract
We find all extremisers for the trace theorem on the sphere. We also provide a sharp extension for functions belonging to certain Sobolev spaces with angular regularity.
Keywords
Cite
@article{arxiv.1409.5847,
title = {Extremisers for the trace theorem on the sphere},
author = {Neal Bez and Shuji Machihara and Mitsuru Sugimoto},
journal= {arXiv preprint arXiv:1409.5847},
year = {2014}
}
Comments
11 pages