Trace theorems: critical cases and best constants

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.

11 pages. arXiv admin note: text overlap with arXiv:math/0612274

References in corpus (2)

• Optimal constants and extremisers for some smoothing estimates
• Structural resolvent estimates and derivative nonlinear Schrodinger equations

Cited by in corpus (1)

• Stability of trace theorems on the sphere