Galaz-Fontes, Fernando; Sontz, Stephen Bruce On two reverse inequalities in the Segal-Bargmann space. (English) Zbl 0968.46062 Electron. J. Differ. Equ. 2000, Conf. 04, 103-111 (2000). Summary: 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. MSC: 46N50 Applications of functional analysis in quantum physics 47D03 Groups and semigroups of linear operators 81S99 General quantum mechanics and problems of quantization 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:Segal-Bargmann space; reverse hypercontractivity estimate; reverse log-Sobolev inequality PDFBibTeX XMLCite \textit{F. Galaz-Fontes} and \textit{S. B. Sontz}, Electron. J. Differ. Equ. 2000, 103--111 (2000; Zbl 0968.46062) Full Text: EuDML EMIS