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Nagel-Stein-Wainger estimates for balls associated with the Bismut condition
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
Université Henry Poincaré, Nancy, Laboratoire Mathématiques, .
2001 (English)In: Stochastic Processes, Physics and Geometry: New Interplays II, Providence, Rhode Island: Canadian Math. Soc. , 2001, 269-284 p.Conference paper, (Refereed)
Abstract [en]

Nagel, Stein, and Wainger have given a uniform estimate for thevolume of sub-Riemannianballs associated with an operator given as sum of squares of vector fields satisfying a uniform strongH{\"o}rmander hypothesis. L\'eandre has given nonuniform estimates forthe volume of ballsassociated with an operator L= 1/2 sum X_i^2 +X_0, and has shown that theBismut conditionis important to establish the relation between hypoelliptic kernels andvolumes of balls. In this paper we settle the uniform case for ballsassociated with distances where the Bismut condition is involved.

Place, publisher, year, edition, pages
Providence, Rhode Island: Canadian Math. Soc. , 2001. 269-284 p.
Keyword [en]
Degenerate diffusions, Subelliptic metrics, Asymptotic Behaviour
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-7729OAI: oai:DiVA.org:lnu-7729DiVA: diva2:345122
Conference
Stochastic Processes, Physics and Geometry: New Interplays II
Available from: 2010-08-23 Created: 2010-08-23 Last updated: 2011-03-28Bibliographically approved

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