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Algebra i Analiz, 2010 Volume 22, Issue 1, Pages 75–81 (Mi aa1171)

This article is cited in 25 papers

Research Papers

The closure of the Hardy space in the Bloch norm

Nacho Monreal Galán, Artur Nicolau

Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

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.

Keywords: Bloch norm, bounded mean oscillation, Lusin area function.

MSC: 30H30

Received: 17.09.2009

Language: English


 English version:
St. Petersburg Mathematical Journal, 2011, 22:1, 55–59

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© Steklov Math. Inst. of RAS, 2024