Upper Bounds on Derivatives of the Logarithm of the Heat Kernel

Communications in Analysis and Geometry

Volumn 6, Issue 4, 1998, Pages 669-685

  Stroock, Daniel W ^a   Turetsky, James ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000584601     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1998.v6.n4.a2     Document Type: Article

References (10)

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3. E. B. Davies, Heat Kernels and Spectral Theory, Cambridge Tracts in Mathematics 92, Cambridge University Press (1989).
4. O. Enchev and D. W. Stroock, Towards a Riemmanian geometry on the path space over a Riemmanian manifold, J. Funct. Anal. 134 (1995), 392-416 .
5. P. Li and S.-T. Yau, On the parabolic kernel of the Schrödinger operator, Acta Math. 156 (1986), 153-201.
6. P. Malliavin and D. W. Stroock, Short time behavior of the heat kernel and its logarithmic derivatives, J. Diff. Geom. to appear.
7. D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, 2nd edition Grundlehren der mathematischen Wissenschaften 293, Springer-Verlag (1994).
8. S.-J. Sheu Some estimates of the transition density of a nondegenerate diffusion markov process, Ann. Prob. 19 (1991).
9. D. W. Stroock, An estimate on the Hessian of the heat kernel, Festschrift in Honor of K. Itô, Springer-Verlag (1995) to appear.
10. D. W. Stroock and O. Zeitouni, Variations on a theme by Bismut, Astérisque Volume in Honor of P.A. Meyer and J. Neveu, to appear.