Trace theorems: critical cases and best constants

Ruzhansky, Michael; Sugimoto, Mitsuru

doi:10.1090/S0002-9939-2014-12207-6

Trace theorems: critical cases and best constants
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by Michael Ruzhansky and Mitsuru Sugimoto PDF

Proc. Amer. Math. Soc. 143 (2015), 227-237 Request permission

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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