Rearrangement transformations on general measure spaces

dc.creatorBoza, Santiago
dc.creatorSoria, Javier
dc.date2007-09-05
dc.date.accessioned2026-07-07T08:27:45Z
dc.date.available2026-07-07T08:27:45Z
dc.descriptionFor a general set transformation ${\cal R}$ between two measure spaces, we define the rearrangement of a measurable function by means of the Layer's cake formula. We study some functional properties of the Lorentz spaces defined in terms of ${\cal R}$, giving a unified approach to the classical rearrangement, Steiner's symmetrization, the multidimensional case, and the discrete setting of trees.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0709.0648
dc.identifierhttp://arxiv.org/abs/0709.0648
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137375
dc.subjectFunctional Analysis
dc.subject46E30, 46B42
dc.titleRearrangement transformations on general measure spaces
dc.typetext

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