This article is cited in 8 papers

Research Papers

Carleson measures and reproducing kernel thesis in Dirichlet-type spaces

G. R. Chacón^a, E. Fricain^b, M. Shabankhah<sup>bc

a</sup> Departamento de Matematicas, Pontificia Universidad Javeriana, Bogotá, Colombia
^b Laboratoire Paul Painlevé, UMR 8524, Université Lille 1, Villeneuve d'Ascq Cedex, France
^c Department of Mathematics and Statistics, McGill University, Montreal, QC, Canada

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.

Keywords: Dirichlet-type spaces, Carleson measures, reproducing kernel thesis.

Received: 16.02.2012

Language: English

 English version: St. Petersburg Mathematical Journal, 2013, 24:6, 847–861

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