Trace theorems: critical cases and best constants
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- by Michael Ruzhansky and Mitsuru Sugimoto
- Proc. Amer. Math. Soc. 143 (2015), 227-237
- DOI: https://doi.org/10.1090/S0002-9939-2014-12207-6
- Published electronically: August 28, 2014
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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.References
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Bibliographic Information
- Michael Ruzhansky
- Affiliation: Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, United Kingdom
- MR Author ID: 611131
- Email: m.ruzhansky@imperial.ac.uk
- Mitsuru Sugimoto
- Affiliation: Graduate School of Mathematics, Nagoya University, Furocho, Chikusa-ku, Nagoya 464-8602, Japan
- Email: sugimoto@math.nagoya-u.ac.jp
- Received by editor(s): September 26, 2012
- Received by editor(s) in revised form: March 20, 2013
- Published electronically: August 28, 2014
- Additional Notes: The first author was supported by the EPSRC Leadership Fellowship EP/G007233/1
- Communicated by: Alexander Iosevich
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 227-237
- MSC (2010): Primary 35B65, 35E15, 46E35, 35Q41, 42B37; Secondary 42B99, 42B35, 35S05, 35Q40
- DOI: https://doi.org/10.1090/S0002-9939-2014-12207-6
- MathSciNet review: 3272748