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:
INVESTIGACIONMetadades
Títol
Comparison of exit moment spectra for extrinsic metric ballsData de publicació
2012Editor
Springer Science+Business Media B.V.ISSN
0926-2601; 1572-929XCita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/content/pdf/10.1007%2Fs11118-011-9223-3.pdfVersió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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. [-]
Drets d'accés
© Springer Science+Business Media B.V. 2011
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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