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Title:
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Hardy’s inequalities for monotone functions on partly ordered measure spaces
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Author:
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Arcozzi, Nicola; Barza, Sorina; Garcia Domingo, Josep Lluís; Soria, Javier
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Other authors:
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Universitat de Vic. Facultat d'Empresa i Comunicació |
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Notes:
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We characterize the weighted Hardy inequalities for monotone functions in Rn
+. In
dimension n = 1, this recovers the standard theory of Bp weights. For n > 1, the
result was previously only known for the case p = 1. In fact, our main theorem is
proved in the more general setting of partly ordered measure spaces. |
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Subject(s):
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-Anàlisi harmònica |
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Rights:
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(c) Cambridge University Press. The published version of the article: Arcozzi, Nicola, et al. "Hardy's Inequalities for Monotone Functions on Partly Ordered Measure Spaces." Proceedings of the Royal Society of Edinburgh Section A-Mathematics 136 (2006): 909-19 , is available at http://journals.cambridge.org
Tots els drets reservats
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Document type:
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Article
info:eu-repo/publishedVersion |
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Published by:
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Cambridge University Press
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