Home | Contents | Submissions, editors, etc. | Login | Search | ECP
 Electronic Journal of Probability > Vol. 10 (2005) > Paper 37 open journal systems 


Small-time Asymptotic Estimates in Local Dirichlet Spaces

Teppei Ariyoshi, Tokio Marine & Nichido Fire Insurance Co., Ltd.
Masanori Hino, Kyoto University


Abstract
Small-time asymptotic estimates of semigroups on a logarithmic scale are proved for all symmetric local Dirichlet forms on σ-finite measure spaces, which is an extension of the work by Hino and Ramírez [4].


Full text: PDF

Pages: 1236-1259

Published on: October 7, 2005
Bibliography
  1. L.-E. Andersson. On the representation of Dirichlet forms. Collection of articles dedicated to Marcel Brelot on the occasion of his 70th birthday. Ann. Inst. Fourier, Grenoble 25 (1975), 11-25. MR0417436 (54 #5486)
  2. N. Bouleau and F. Hirsch. Dirichlet forms and analysis on Wiener space. Walter de Gruyter, Berlin, 1991. MR1133391 (93e:60107)
  3. M. Fukushima, Y. Oshima and M. Takeda. Dirichlet forms and symmetric Markov processes. Walter de Gruyter, Berlin, 1994. MR1303354 (96f:60126)
  4. M. Hino and J. A. Ramírez. Small-time Gaussian behavior of symmetric diffusion semigroups. Ann. Probab. 31 (2003), 1254-1295. MR1988472 (2004f:60167)
  5. Z. M. Ma and M. Röckner. Introduction to the theory of (non-symmetric) Dirichlet forms. Springer, Berlin, 1992. MR1214375 (94d:60119)
  6. J. R. Norris. Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds. Acta Math. 179 (1997), 79-103. MR1484769 (99d:58167)
  7. J. A. Ramírez. Short time asymptotics in Dirichlet spaces. Comm. Pure Appl. Math. 54 (2001), 259-293. MR1809739 (2002f:60108)
  8. J. P. Roth. Formule de représentation et troncature des formes de Dirichlet sur Rm. in Séminaire de Théorie du Potentiel Paris, pp. 260-274, Lecture Notes in Math. 563, Springer, Berlin, 1976. MR0588398 (58 #28571)
















Research
Support Tool
Capture Cite
View Metadata
Printer Friendly
Context
Author Address
Action
Email Author
Email Others


Home | Contents | Submissions, editors, etc. | Login | Search | ECP

Electronic Journal of Probability. ISSN: 1083-6489