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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Derechos:
(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
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Citación Bibliográfica:
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.