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Trace theorems: critical cases and best constants

  • Ruzhansky M
  • Sugimoto M
Proceedings of the American Mathematical Society (2014) 143(1) 227-237
DOI: 10.1090/s0002-9939-2014-12207-6
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Abstract

© 2014 American Mathematical Society. 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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Ruzhansky, M., & Sugimoto, M. (2014). Trace theorems: critical cases and best constants. Proceedings of the American Mathematical Society, 143(1), 227–237. https://doi.org/10.1090/s0002-9939-2014-12207-6

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