The closure of the Hardy space in the Bloch norm
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- by N. M. Galán and A. Nicolau
- St. Petersburg Math. J. 22 (2011), 55-59
- DOI: https://doi.org/10.1090/S1061-0022-2010-01132-4
- Published electronically: November 16, 2010
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Abstract:
A description of the closure in the Bloch norm of the Bloch functions that are in a Hardy space is given. The result uses the classical estimates for the Lusin area function.References
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Bibliographic Information
- N. M. Galán
- Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
- Email: nachomg@mat.uab.es
- A. Nicolau
- Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
- Email: artur@mat.uab.cat
- Received by editor(s): September 17, 2009
- Published electronically: November 16, 2010
- Additional Notes: Supported in part by grants MTM2008-00145 and 2009SGR420.
- © Copyright 2010 American Mathematical Society
- Journal: St. Petersburg Math. J. 22 (2011), 55-59
- MSC (2010): Primary 30H30
- DOI: https://doi.org/10.1090/S1061-0022-2010-01132-4
- MathSciNet review: 2641081
Dedicated: Dedicated to V. P. Havin on the occasion of his 75th birthday