ISSN:
1432-2064
Keywords:
31C15
;
60J25
;
60J30
;
60J45
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We study a class of multiparameter symmetric Markov processes. We prove that this class is stable by subordination in Bochner's sense. We show then that for these processes, a probabilistic and an analytic potential theory correspond to each other. In particular, additive functionals are associated with finite energy measures, hitting probabilities are estimated by capacities, quasicontinuity corresponds to path-continuity. In the last section, examples show that many earlier results, as well as new ones, in this domain can be obtained by our method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01199031
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