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On the Grushin operator and hyperbolic symmetry


Author: William Beckner
Journal: Proc. Amer. Math. Soc. 129 (2001), 1233-1246
MSC (2000): Primary 58J70, 35A15
DOI: https://doi.org/10.1090/S0002-9939-00-05630-6
Published electronically: October 10, 2000
MathSciNet review: 1709740
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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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Additional Information

William Beckner
Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712-1082
Email: beckner@math.utexas.edu

DOI: https://doi.org/10.1090/S0002-9939-00-05630-6
Received by editor(s): March 19, 1999
Received by editor(s) in revised form: July 2, 1999
Published electronically: October 10, 2000
Additional Notes: This work was partially supported by the National Science Foundation.
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2000 American Mathematical Society

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