Carleson measures on Dirichlet-type spaces
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- by Gerardo R. Chacón
- Proc. Amer. Math. Soc. 139 (2011), 1605-1615
- DOI: https://doi.org/10.1090/S0002-9939-2011-10823-2
- Published electronically: January 11, 2011
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Abstract:
We show that a maximal inequality holds for the non-tangential maximal operator on Dirichlet spaces with harmonic weights on the open unit disc. We then investigate two notions of Carleson measures on these spaces and use the maximal inequality to give characterizations of the Carleson measures in terms of an associated capacity.References
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Bibliographic Information
- Gerardo R. Chacón
- Affiliation: Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia
- Email: chacong@javeriana.edu.co
- Received by editor(s): April 26, 2010
- Published electronically: January 11, 2011
- Communicated by: Richard Rochberg
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1605-1615
- MSC (2000): Primary 42B25; Secondary 46C99, 31C25
- DOI: https://doi.org/10.1090/S0002-9939-2011-10823-2
- MathSciNet review: 2763750