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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 D(μ) when μ 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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Linking options:
  • https://www.mathnet.ru/eng/aa1307
  • https://www.mathnet.ru/eng/aa/v24/i6/p1
    • This publication is cited in the following 6 articles:
    1. Fricain E., Mashreghi J., “Orthonormal Polynomial Basis in Local Dirichlet Spaces”, Acta Sci. Math., 87:3-4 (2021), 595–613  crossref  mathscinet  isi
    2. Liu X., Li S., “Characterizations of a Class of Dirichlet-Type Spaces and Related Operators”, J. Math., 2020 (2020), 6631047  crossref  mathscinet  isi
    3. Costara C., “Reproducing Kernels for Dirichlet Spaces Associated to Finitely Supported Measures”, Complex Anal. Oper. Theory, 10:6 (2016), 1277–1293  crossref  mathscinet  zmath  isi  scopus
    4. Liu X., Chacn G.R., Lou Z., “Characterizations of the Dirichlet-Type Space”, Complex Anal. Oper. Theory, 9:6 (2015), 1269–1286  crossref  mathscinet  zmath  isi  scopus
    5. Blandigneres A., Fricain E., Gaunard F., Hartmann A., Ross W.T., “Direct and Reverse Carleson Measures For H (B) Spaces”, Indiana Univ. Math. J., 64:4 (2015), 1027–1057  crossref  mathscinet  zmath  isi  elib  scopus
    6. Costara C., Ransford T., “Which de Branges-Rovnyak Spaces Are Dirichlet Spaces (and Vice Versa)?”, J. Funct. Anal., 265:12 (2013), 3204–3218  crossref  mathscinet  zmath  isi  scopus
    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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