Capacitary function spaces

Joan Cerdà, Joaquim Martín, Pilar Silvestre

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19 Citations (Scopus)

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 Cerdá.
Original languageEnglish
Pages (from-to)95-118
JournalCollectanea Mathematica
Volume62
DOIs
Publication statusPublished - 1 Jan 2011

Keywords

  • Capacity
  • Interpolation
  • Lorentz spaces

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    Cerdà, J., Martín, J., & Silvestre, P. (2011). Capacitary function spaces. Collectanea Mathematica, 62, 95-118. https://doi.org/10.1007/s13348-010-0031-7