Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere

DOI10.1016/0022-1236(82)90069-6zbMath0506.46022OpenAlexW2075920630MaRDI QIDQ1836847

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90069-6

zbMATH Keywords

hypercontractivity polynomial orthonormal basis sharp logarithmic Sobolev inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Groups and semigroups of linear operators (47D03)

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Cites Work