On the Grushin operator and hyperbolic symmetry-Reference-Cited by-同舟云学术

On the Grushin operator and hyperbolic symmetry

Published:2000-10-10 Issue:4 Volume:129 Page:1233-1246
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Beckner William

Abstract

Complexity of geometric symmetry for differential operators with mixed homogeniety is examined here. Sharp Sobolev estimates are calculated for the Grushin operator in low dimensions using hyperbolic symmetry and conformal geometry.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-04/S0002-9939-00-05630-6/S0002-9939-00-05630-6.pdf

Reference27 articles.

1. Sobolev inequalities, the Poisson semigroup, and analysis on the sphere 𝑆ⁿ;Beckner, William;Proc. Nat. Acad. Sci. U.S.A.,1992

2. Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality;Beckner, William;Ann. of Math. (2),1993

3. Geometric inequalities in Fourier anaylsis;Beckner, William,1995

4. Sharp inequalities and geometric manifolds;Beckner, William;J. Fourier Anal. Appl.,1997

5. Geometric asymptotics and the logarithmic Sobolev inequality;Beckner, William;Forum Math.,1999

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