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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

The closure of the Hardy space in the Bloch norm


Authors: N. M. Galán and A. Nicolau
Original publication: Algebra i Analiz, tom 22 (2010), nomer 1.
Journal: St. Petersburg Math. J. 22 (2011), 55-59
MSC (2010): Primary 30H30
Published electronically: November 16, 2010
MathSciNet review: 2641081
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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.


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Additional 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

DOI: http://dx.doi.org/10.1090/S1061-0022-2010-01132-4
PII: S 1061-0022(2010)01132-4
Keywords: Bloch norm, bounded mean oscillation, Lusin area function
Received by editor(s): September 17, 2009
Published electronically: November 16, 2010
Additional Notes: Supported in part by grants MTM2008-00145 and 2009SGR420.
Dedicated: Dedicated to V. P. Havin on the occasion of his 75th birthday
Article copyright: © Copyright 2010 American Mathematical Society