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Gaussian bounds for derivatives of central Gaussian semigroups on compact groups


Authors: A. Bendikov and L. Saloff-Coste
Journal: Trans. Amer. Math. Soc. 354 (2002), 1279-1298
MSC (2000): Primary 60B15, 43A77, 60J45, 60J60
Published electronically: November 19, 2001
MathSciNet review: 1873006
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Abstract: For symmetric central Gaussian semigroups on compact connected groups, assuming the existence of a continuous density, we show that this density admits space derivatives of all orders in certain directions. Under some additional assumptions, we prove that these derivatives satisfy certain Gaussian bounds.


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Additional Information

A. Bendikov
Affiliation: Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201
Email: bendikov@math.cornell.edu

L. Saloff-Coste
Affiliation: Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201
Email: lsc@math.cornell.edu

DOI: https://doi.org/10.1090/S0002-9947-01-02945-2
Received by editor(s): May 21, 2001
Received by editor(s) in revised form: September 4, 2001
Published electronically: November 19, 2001
Additional Notes: Research partially supported by NSF Grant DMS-9802855
Article copyright: © Copyright 2001 American Mathematical Society