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


Autoria(s): Arcozzi, Nicola; Barza, Sorina; Garcia Domingo, Josep Lluís; Soria, Javier
Contribuinte(s)

Universitat de Vic. Facultat d'Empresa i Comunicació

Data(s)

2006

Resumo

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.

Formato

12 p.

Identificador

http://hdl.handle.net/10854/2252

Idioma(s)

eng

Publicador

Cambridge University Press

Direitos

(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

Palavras-Chave #Anàlisi harmònica
Tipo

info:eu-repo/semantics/article