Trace theorems: critical cases and best constants
Functional Analysis
2014-12-30 v1 Analysis of PDEs
Abstract
The purpose of this paper is to present the critical cases of the trace theorems for the restriction of functions to closed surfaces, and to give the asymptotics for the norms of the traces under dilations of the surface. We also discuss the best constants for them.
Keywords
Cite
@article{arxiv.1208.3200,
title = {Trace theorems: critical cases and best constants},
author = {Michael Ruzhansky and Mitsuru Sugimoto},
journal= {arXiv preprint arXiv:1208.3200},
year = {2014}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:math/0612274