Comparison of exit moment spectra for extrinsic metric balls
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Comparison of exit moment spectra for extrinsic metric ballsDate
2012Publisher
Springer Science+Business Media B.V.ISSN
0926-2601; 1572-929XBibliographic citation
HURTADO, Ana; MARKVORSEN, Steen; PALMER, Vicente. Comparison of exit moment spectra for extrinsic metric balls. Potential Analysis, 2012, vol. 36, no 1, p. 137-153.Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/content/pdf/10.1007%2Fs11118-011-9223-3.pdfVersion
info:eu-repo/semantics/submittedVersionSubject
Abstract
We prove explicit upper and lower bounds for the L1-moment spectra for
the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in
ambient Riemannian spaces Nn. We assume that P and N both have ... [+]
We prove explicit upper and lower bounds for the L1-moment spectra for
the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in
ambient Riemannian spaces Nn. We assume that P and N both have controlled
radial curvatures (mean curvature and sectional curvature, respectively) as viewed from a pole in N. The bounds for the exit moment spectra are given in terms of the corresponding spectra for geodesic metric balls in suitably warped product model spaces. The bounds are sharp in the sense that equalities are obtained in characteristic cases. As a corollary we also obtain new intrinsic comparison results for the exit time spectra for metric balls in the ambient manifolds Nn themselves. [-]
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© Springer Science+Business Media B.V. 2011
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info:eu-repo/semantics/openAccess
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