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Trace theorems : critical cases and best constants

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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.
Keywords
SCHRODINGER-EQUATIONS, SMOOTHING PROPERTIES, CONVERGENCE, REGULARITY, PROPERTY

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Citation

Please use this url to cite or link to this publication:

MLA
Ruzhansky, Michael, and Mitsuru Sugimoto. “Trace Theorems : Critical Cases and Best Constants.” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 143.1 (2015): 227–237. Print.
APA
Ruzhansky, M., & Sugimoto, M. (2015). Trace theorems : critical cases and best constants. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143(1), 227–237.
Chicago author-date
Ruzhansky, Michael, and Mitsuru Sugimoto. 2015. “Trace Theorems : Critical Cases and Best Constants.” Proceedings of the American Mathematical Society 143 (1): 227–237.
Chicago author-date (all authors)
Ruzhansky, Michael, and Mitsuru Sugimoto. 2015. “Trace Theorems : Critical Cases and Best Constants.” Proceedings of the American Mathematical Society 143 (1): 227–237.
Vancouver
1.
Ruzhansky M, Sugimoto M. Trace theorems : critical cases and best constants. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2015;143(1):227–37.
IEEE
[1]
M. Ruzhansky and M. Sugimoto, “Trace theorems : critical cases and best constants,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 143, no. 1, pp. 227–237, 2015.
@article{8585202,
  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.},
  author       = {Ruzhansky, Michael and Sugimoto, Mitsuru},
  issn         = {0002-9939},
  journal      = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY},
  keywords     = {SCHRODINGER-EQUATIONS,SMOOTHING PROPERTIES,CONVERGENCE,REGULARITY,PROPERTY},
  language     = {eng},
  number       = {1},
  pages        = {227--237},
  title        = {Trace theorems : critical cases and best constants},
  url          = {http://dx.doi.org/10.1090/s0002-9939-2014-12207-6},
  volume       = {143},
  year         = {2015},
}

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