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Trace theorems: critical cases and best constants

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.

preprint2012arXivOpen access
Michael RuzhanskyMitsuru Sugimoto
math.APmath.FA
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Michael RuzhanskyMitsuru Sugimoto

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