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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

A localization formula in Dirichlet form theory


Authors: Zhen-Qing Chen and Masatoshi Fukushima
Journal: Proc. Amer. Math. Soc. 140 (2012), 1815-1822
MSC (2010): Primary 60J25, 31C25; Secondary 60J45, 60J50
Published electronically: September 12, 2011
MathSciNet review: 2869166
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Abstract: A localization energy formula is established for symmetric Markov processes on Luzin spaces.


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Additional Information

Zhen-Qing Chen
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
Email: zqchen@uw.edu

Masatoshi Fukushima
Affiliation: Branch of Mathematical Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
Email: fuku2@mx5.canvas.ne.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11036-0
PII: S 0002-9939(2011)11036-0
Keywords: Symmetric Markov process, Hunt process, Dirichlet form, extended Dirichlet space, energy measure, additive functional, martingale additive functional
Received by editor(s): December 15, 2010
Received by editor(s) in revised form: January 26, 2011
Published electronically: September 12, 2011
Additional Notes: The first author’s research was partially supported by NSF Grants DMS-0906743 and DMR-1035196.
The second author’s research was supported by Grant-in-Aid for Scientific Research of MEXT No. 19540125
Communicated by: Richard C. Bradley
Article copyright: © Copyright 2011 Zhen-Qing Chen and Masatoshi Fukushima