The Singular Measure of a Dirichlet Space

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<jats:p>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 <jats:italic>X</jats:italic> be a locally compact Hausdorff space in which there exists a positive Radon measure ξ which is everywhere dense in <jats:italic>X</jats:italic>.</jats:p>

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