On the Grushin operator and hyperbolic symmetry

Beckner, William

doi:10.1090/S0002-9939-00-05630-6

On the Grushin operator and hyperbolic symmetry
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Proc. Amer. Math. Soc. 129 (2001), 1233-1246 Request permission

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.

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