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Fukushima type decomposition for semi-Dirichlet forms

Authors
  • Ma, Zhi-Ming
  • Sun, Wei
  • Wang, Li-Fei
Type
Preprint
Publication Date
Feb 18, 2014
Submission Date
Feb 18, 2014
Identifiers
arXiv ID: 1402.4341
Source
arXiv
License
Yellow
External links

Abstract

We present a Fukushima type decomposition in the setting of general quasi-regular semi-Dirichlet forms. The decomposition is then employed to give a transformation formula for martingale additive functionals. Applications of the results to some concrete examples of semi-Dirichlet forms are given at the end of the paper. We discuss also the uniqueness question about Doob-Meyer decomposition on optional sets of interval type.

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