A logarithmic Sobolev inequality on the real line
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- by J. Michael Pearson PDF
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Abstract:
A new logarithmic Sobolev inequality for the real line is obtained. The inequality is obtained by applying a differentiation argument to a sharp Sobolev inequality due to Nagy, and is $L^p$ rather that $L^2$ in structure.References
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Additional Information
- J. Michael Pearson
- Affiliation: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762
- Email: pearson@math.msstate.edu
- Received by editor(s): March 19, 1996
- Received by editor(s) in revised form: June 14, 1996
- Communicated by: Christopher D. Sogge
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3339-3345
- MSC (1991): Primary 42A99; Secondary 46E35
- DOI: https://doi.org/10.1090/S0002-9939-97-03979-8
- MathSciNet review: 1402883