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The Singular Measure of a Dirichlet Space

Masayuki Itô

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Source: Crossref

Published: Jun 1, 1968

DOI: 10.1017/s0027763000026775

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Source abstract

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 .

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The Singular Measure of a Dirichlet Space — Mathematical Frontier Network