Capacitary function spaces

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dc.contributor.author	Cerdà Martín, Joan Lluís
dc.contributor.author	Martín i Pedret, Joaquim
dc.contributor.author	Silvestre, Pilar
dc.date	2011
dc.identifier	https://ddd.uab.cat/record/270412
dc.identifier	urn:10.1007/s13348-010-0031-7
dc.identifier	urn:oai:ddd.uab.cat:270412
dc.identifier	urn:oai:egreta.uab.cat:publications/a78729c6-b590-49b8-8c0a-9dcb3fb87b77
dc.identifier	urn:pure_id:35503025
dc.identifier	urn:scopus_id:79960117018
dc.identifier	urn:recercauab:ARE-61769
dc.identifier	urn:articleid:00100757v62n1p95
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Ministerio de Educación y Ciencia MTM2007-60500
dc.relation	Collectanea mathematica ; Vol. 62, Issue 1 (January 2011), p. 95-118
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Capacity
dc.subject	Interpolation
dc.subject	Lorentz spaces
dc.title	Capacitary function spaces
dc.type	Article
dc.description.abstract	These notes are devoted to the analysis on a capacity space, with capacities as substitutes of measures in the study of function spaces. The goal is to extend to the associated function lattices some aspects of the theory of Banach function spaces, to show how the general theory can be applied to classical function spaces such as Lorentz spaces, and to complete the real interpolation theory for these spaces included in Cerdà (J Math Anal Appl 304:269-295, 2005) and Cerdà et al. (AMS Contemp Math 445:49-55, 2007).