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Hardy’s inequalities for monotone functions on partly ordered measure spaces

Hardy’s inequalities for monotone functions on partly ordered measure spaces
 
Arcozzi, Nicola ; Barza, Sorina ; Garcia Domingo, Josep Lluís ; Soria, Javier
2006

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Enllaç permanent: http://hdl.handle.net/10854/2252
 
Versió de l'editor: https://doi.org/10.1017/S0308210500004790
 

Resum:

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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(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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Citació Bibliogràfica:

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.