![](images/spacer.gif) |
|
|
| | | | | |
|
|
|
|
|
On an extension of jump-type symmetric Dirichlet forms
|
Toshihiro Uemura, University of Hyogo |
Abstract
We show that any element from the (L2-)maximal domain of a jump-type symmetric Dirichlet
form can be approximated by test functions under some conditions. This gives us a direct proof
of the fact that the test functions is dense in Bessel potential spaces.
|
Full text: PDF
Pages: 57-65
Published on: March 26, 2007
|
Bibliography
- Chen, Z.-Q.,
On reflected Dirichlet spaces,
Probab. Theory Relat. Fields, 94 (1992), 135-162
MR1191106
- Chen, Z.-Q. and T. Kumagai,
Heat kernel estimates for stable-like processes on d-sets,
Stochastic Process Appl., 108 (2003), 27-62
MR2008600
-
Fukushima, M., Oshima, Y. and M. Takeda,
Dirichlet forms and symmetric Markov processes,
de Gruyter Studies in Mathematics, Walter de Gruyter & Co., 1994
MR1303354
- Kawabata, T. and M. Takeda,
On uniqueness problem for local Dirichlet forms,
Osaka J. Math., 33 (1996), 881-893
MR1435459
- Kuwae, K.,
Reflected Dirichlet forms and the uniqueness of Silverstein's extension,
Potential Analysis, 16 (2002), 221-247
MR1885761
- Schilling, R. L. and T. Uemura,
On the Feller property of Dirichlet forms generated by pseudo differential
operators, to appear in Tohoku Math. J., (preprint 2005) 22 pages
Math. Review number not available.
- Silverstein, M.L.,
The reflected Dirichlet space,
Illinois J. Math., 18 (1974), 310-355
MR0356253
- Silverstein, M.L.,
Symmetric Markov processes, LNM. 426, Springer-Verlag, 1974
MR0386032
- Stein, E. M.,
Singular integrals and differentiability properties of
functions, Princeton Mathematical Series,
Princeton University Press, 1970
MR0290095
- Takeda, M.,
Two classes of extensions for generalized Schr"odinger operators,
Potential Analysis, 5 (1996), 1-13
MR1373827
- Uemura, T.,
On some path properties of symmetric stable-like processes for one
dimension,
Potential Analysis, 16 (2002), 79-91
MR1880349
- Uemura, T.,
On symmetric stable-like processes: some path properties and generators,
J. Theoret. Probab., 17 (2004), 541-555
MR2091550
|
|
|
|
|
|
|
| | | | |
Electronic Communications in Probability. ISSN: 1083-589X |
|