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Algebra i Analiz, 2012, Volume 24, Issue 6, Pages 1–20 (Mi aa1307)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Carleson measures and reproducing kernel thesis in Dirichlet-type spaces

G. R. Chacóna, E. Fricainb, M. Shabankhahbc

a 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
Full-text PDF (274 kB) Citations (6)
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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
English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 6, Pages 847–861
DOI: https://doi.org/10.1090/S1061-0022-2013-01269-6
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. R. Chacón, E. Fricain, M. Shabankhah, “Carleson measures and reproducing kernel thesis in Dirichlet-type spaces”, Algebra i Analiz, 24:6 (2012), 1–20; St. Petersburg Math. J., 24:6 (2013), 847–861
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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