Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
Authors:
- Carl E MuellerCMCarl E Mueller
- Fred B WeisslerFWFred B Weissler
- 1 September 1982
- journal article
- research article
- Published by Elsevier in Journal of Functional Analysis
- Vol. 48 (2) , 252-283
Abstract
No abstract availableKeywords
This publication has 14 references indexed in Scilit:
- Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operatorsJournal of Functional Analysis, 1980
- Logarithmic Sobolev inequalities and hypercontractive estimates on the circleJournal of Functional Analysis, 1980
- Gross's Logarithmic Sobolev Inequality: A Simple ProofAmerican Journal of Mathematics, 1979
- Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequalityDuke Mathematical Journal, 1978
- Logarithmic Sobolev inequalities for the heat-diffusion semigroupTransactions of the American Mathematical Society, 1978
- Spherical rearrangements, subharmonic functions, and ∗-functions in n-spaceDuke Mathematical Journal, 1976
- Inequalities in Fourier AnalysisAnnals of Mathematics, 1975
- Logarithmic Sobolev InequalitiesAmerican Journal of Mathematics, 1975
- Hypercontractive semigroups and two dimensional self-coupled Bose fieldsJournal of Functional Analysis, 1972
- Interpolation of linear operatorsTransactions of the American Mathematical Society, 1956