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Carleson Measures and Reproducing Kernel Thesis in Dirichlet-type spaces
Published 9 Sep 2010 in math.FA and math.CV | (1009.1801v3)
Abstract: In this paper, using a generalization of a Richter and Sundberg representation theorem, we give a new characterization of Carleson measures for the Dirichlet-type space $\mathcal D(\mu)$ when $\mu$ is a finite sum of point masses. A reproducing kernel thesis result is also established in this case.
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