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arXiv · 1208.3200

Trace theorems: critical cases and best constants

Michael Ruzhansky·Mitsuru Sugimoto
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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.

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Michael Ruzhansky, Mitsuru Sugimoto. 2012-08-15. Trace theorems: critical cases and best constants. https://doi.org/10.1090/s0002-9939-2014-12207-6

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