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On Feller’s Kernel and the Drichlet Norm

Published online by Cambridge University Press:  22 January 2016

Masatoshi Fukushima
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Recently J. L. Doob [2] evaluated the Dirichlet integral of the BLD harmonic funtion on a Green space in terms of its fine boundary values and θ-kernel of L. Naïm.

On the other hand, the general theory of additive functionals of Markov processes enables us to define the concept of the Dirichlet norm of functions with respect to Markov processes.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 24 , June 1964 , pp. 167 - 175
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1964

References

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