Adams, R. A.; Clarke, Frank H. Gross’ logarithmic Sobolev inequality: A simple proof. (English) Zbl 0421.46029 Am. J. Math. 101, 1265-1269 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 12 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 28D10 One-parameter continuous families of measure-preserving transformations 49L99 Hamilton-Jacobi theories 81T08 Constructive quantum field theory Keywords:Gross’s logarithmic Sobolev inequality; Gaussian measure; quantum field theory; hypercontractive inequality; royal road of Caratheodory PDF BibTeX XML Cite \textit{R. A. Adams} and \textit{F. H. Clarke}, Am. J. Math. 101, 1265--1269 (1979; Zbl 0421.46029) Full Text: DOI OpenURL