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arxiv: 1009.1801 · v3 · pith:X7LMLQ2Tnew · submitted 2010-09-09 · 🧮 math.FA · math.CV

Carleson Measures and Reproducing Kernel Thesis in Dirichlet-type spaces

classification 🧮 math.FA math.CV
keywords carlesondirichlet-typekernelmeasuresreproducingthesiscasecharacterization
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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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