Multidimensional rearrangement and Lorentz spaces

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We define a multidimensional rearrangement, which is related to classical inequalities for functions that are monotone in each variable. We prove the main measure theoretical results of the new theory and characterize the functional properties of the associated weighted Lorentz spaces.
22 pages

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Classical Analysis and ODEs, Functional Analysis, 46E30, 46B25

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http://salesiana.dossiersoluciones.com/handle/123456789/62371

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110118
 http://arxiv.org/abs/math/0110118

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arXiv