Best constants in Sobolev inequalities for ultraspherical polynomials

DOI10.1007/BF00375673zbMath0793.46014MaRDI QIDQ1189737

J. Michael Pearson

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Gegenbauer polynomialsSobolev inequalitiessharp Sobolev-type inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (2)

Parabolic methods for ultraspherical interpolation inequalities ⋮ On non-local ergodic Jacobi semigroups: spectral theory, convergence-to-equilibrium and contractivity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• A hypercontractive estimate for the heat semigroup on \(P^ 2\)
• Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
• Best constant in Sobolev inequality
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• A general rearrangement inequality for multiple integrals
• The free Markoff field
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: Best constants in Sobolev inequalities for ultraspherical polynomials