Rothaus, O. S. Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators. (English) Zbl 0472.47024 J. Funct. Anal. 39, 42-56 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 16 Documents MSC: 47E05 General theory of ordinary differential operators 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 26D10 Inequalities involving derivatives and differential and integral operators Keywords:logarithmic Sobolev inequalities; best constants; Hill’s equations; sharp hypercontracting estimates PDF BibTeX XML Cite \textit{O. S. Rothaus}, J. Funct. Anal. 39, 42--56 (1980; Zbl 0472.47024) Full Text: DOI OpenURL References: [1] Carmona, R, Regularity properties of Schrödinger and Dirichlet semigroups, J. functional analysis, 33, 259-296, (1979) · Zbl 0419.60075 [2] Gross, L, Logarithmic Sobolev inequalities, Amer. J. math., 97, 1061-1083, (1976) · Zbl 0318.46049 [3] Rothaus, O, Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequality, Duke math. J., 45, 351-362, (1978) · Zbl 0435.47049 [4] Weissler, F, Logarithmic Sobolev inequalities and hypercontractive estimates on the circle, J. functional analysis, 37, 218-234, (1980) · Zbl 0463.46024 [5] Adams, R; Clarke, F, Gross’s logarithmic Sobolev inequality, a simple proof, Amer. J. math., 101, 1265-1269, (1979) · Zbl 0421.46029 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.