Carleson Measures and Reproducing Kernel Thesis in Dirichlet-type spaces

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

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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