Mixed norm and multidimensional Lorentz spaces

Simple item page
dc.creatorBarza, Sorina
dc.creatorKaminska, Anna
dc.creatorPersson, Lars-Erik
dc.creatorSoria, Javier
dc.date2004-09-01
dc.date.accessioned2026-07-07T05:11:44Z
dc.date.available2026-07-07T05:11:44Z
dc.descriptionIn the last decade, the problem of characterizing the normability of the weighted Lorentz spaces has been completely solved (\cite{Sa}, \cite{CaSoA}). However, the question for multidimensional Lorentz spaces is still open. In this paper, we consider weights of product type, and give necessary and sufficient conditions for the Lorentz spaces, defined with respect to the two-dimensional decreasing rearrangement, to be normable. To this end, it is also useful to study the mixed norm Lorentz spaces. Finally, we prove embeddings between all the classical, multidimensional, and mixed norm Lorentz spaces.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0409018
dc.identifierhttp://arxiv.org/abs/math/0409018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72343
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject46E30, 46B25
dc.titleMixed norm and multidimensional Lorentz spaces
dc.typetext

Files

Collections

arXiv