Carleson measures and reproducing kernel thesis in Dirichlet-type spaces
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- by G. R. Chacón, E. Fricain and M. Shabankhah
- St. Petersburg Math. J. 24 (2013), 847-861
- DOI: https://doi.org/10.1090/S1061-0022-2013-01269-6
- Published electronically: September 23, 2013
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Abstract:
In the paper, a generalization of a Richter and Sundberg representation theorem is employed to obtain 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.References
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Bibliographic Information
- G. R. Chacón
- Affiliation: Departamento de Matematicas, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, Colombia
- Email: chacong@javeriana.edu.co
- E. Fricain
- Affiliation: Laboratoire Paul Painlevé, UMR 8524, Université Lille 1, 59655 Villeneuve d’Ascq Cedex, France
- MR Author ID: 648628
- Email: emmanuel.fricain@math.univ-lille1.fr
- M. Shabankhah
- Affiliation: Department of Engineering Science, College of Engineering, University of Tehran, Tehran 11155-4563, Iran
- Email: mahmood.shabankhan@gmail.com
- Received by editor(s): February 16, 2012
- Published electronically: September 23, 2013
- Additional Notes: The first author was partially supported by Pontifica Universidad Javeriana, project 4884. The second author was partially supported by the ANR FRAB. The third author was supported by ANR DYNOP and FQRNT
- © Copyright 2013 American Mathematical Society
- Journal: St. Petersburg Math. J. 24 (2013), 847-861
- MSC (2010): Primary 46E20, 46E22
- DOI: https://doi.org/10.1090/S1061-0022-2013-01269-6
- MathSciNet review: 3097551