Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 103-111.

On two reverse inequalities in the Segal-Bargmann space

Fernando Galaz-Fontes & Stephen Bruce Sontz

We review here two reverse inequalities in the Segal-Bargmann space: a reverse hypercontractivity estimate due to Carlen and a reverse log-Sobolev inequality due to the second author.

Published July 12, 2000.
Mathematics Subject Classifications: 46N50, 47D03, 81S99.
Key words: Segal-Bargmann space, hypercontractivity, log-Sobelev inequality.

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Fernando Galaz-Fontes
Centro de Investigacion en Matematicas
Guanajuato, Gto.
Stephen Bruce Sontz
Universidad Autonoma Metropolitana-Iztapalapa
Mexico, D.F. 09340

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