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Original Articles

On the differentiation of heat semigroups and poisson integrals

Pages 297-321 | Published online: 04 Apr 2007

References

  • Bakry , D. 1986 . “ Un critère de non-explosion pour certaines diffusions sur une variété riemannienne complète Série I ” . In C. R. Acad. Sci Vol. 303 , 23 – 26 . Paris
  • Bakry , D. and Ledoux , M. 1996 . Levy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator . Invent. Math. , 123 : 259 – 281 .
  • Bismut , J. M. 1984 . Large deviations and the Malliavin calculus . Birkhäuser: Progress in Mathematics , 45
  • Cranston , M. 1991 . Gradient estimates on manifolds using coupling . J. Funct. Anal. , 99 : 110 – 124 .
  • Elworthy , K. D. 1988 . “ Geometric aspects of diffusions on manifolds ” . In École d' Été de Probabilites de Saint-Flour XV-XVII , Lect. Notes in Math Edited by: Hennequin , P. L. Vol. 1362 , 277 – 425 .
  • Elworthy , K. D. and Li , X.-M. 1994 . Formulae for the derivatives of heat semigroups . J. Fund. Anal. , 125 : 252 – 286 .
  • Elworthy , K. D. and Li , X.-M. “ A class of integration by parts formulae in stochastic analysis ” . In Ito's Stochastic Calculus and Probability Theory , Edited by: Ikeda , N. 15 – 30 . New York : Springer-Verlag .
  • Elworthy , K. D. , Li , X. -M. and Le Jan , Y. New Trends in Stochastic Analysis. New trends in Stochastic Analysis . Proc. Taniguchi Symposium 1994 . Edited by: Shigekawa , I. World Scientific Press .
  • Elworthy , K. D. and Yor , M. Conditional expectations for derivatives of certain stochastic flows . Seminaire de Probabilites XXVII . Edited by: Azema , J. Vol. 1557 , pp. 159 – 172 . Led. Notes in Math.
  • Emery , M. 1989 . “ Stochastic Calculus in Manifolds (with an appendix by Meyer, P.A.) ” . Berlin : Springer .
  • Krylov , N. V. Quasiderivatives for solutions of Itô's stochastic equations and their applications, Stochastic Analysis and Related Topics . Proc. of the Fourth Oslo-Silivri Workshop on Stochastic Analysis, Oslo 1992. Stochastic Monographs . Edited by: Lindstrø , T. Vol. 8 , pp. 1 – 44 . Gordon and Breach Sci. Publishers .
  • Kunita , H. 1990 . “ Stochastic flows and stochastic differential equations ” . Cambridge : Cambridge University Press .
  • Li , X.-M. 1994 . Stochastic differential equations on noncompact manifolds: moment stability and its topological consequences . Probab. Theory Relat. Fields , 100 : 417 – 428 .
  • Li , X.-M. 1994 . Strong p-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds. Probab . Theory Relat. Fields , 100 : 485 – 511 .
  • Thalmaier , A. and Wang , F.-Y. 1996 . “ Gradient estimates for harmonic functions on regular domains in Riemannian manifolds ” . Vol. 32 , Warwick Preprints

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