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The Singular Measure of a Dirichlet Space

Published online by Cambridge University Press:  22 January 2016

Masayuki Itô
Masayuki Itô*
Affiliation:
Mathematical Institute, Nagoya University
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We [4], [5] examined some properties of balayaged measures in the theory of a Dirichlet space. In those papers, we showed that the singular measure of a Dirichlet space plays some important roles. In this paper, we shall precisely examine some properties of the singular measure of a Dirichlet space. Let X be a locally compact Hausdorff space in which there exists a positive Radon measure ξ which is everywhere dense in X.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 32 , June 1968 , pp. 337 - 359
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

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