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Local Fractional and singular integrals on open subsets

  • Eleonor Harboure
  • Oscar SalinasEmail author
  • Beatriz Viviani
Article
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Abstract

For a proper open set Ω immersed in a metric space with the weak homogeneity property, and given a measure μ doubling on a certain family of balls lying “well inside” of Ω, we introduce local operators of singular and fractional type and study their boundedness properties on weighted Lp(Ω), 1 ≤ p < ∞, for weights in local Muckenhoupt classes.

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Copyright information

© The Hebrew University of Jerusalem 2019

Authors and Affiliations

  • Eleonor Harboure
    • 1
  • Oscar Salinas
    • 1
    Email author
  • Beatriz Viviani
    • 1
  1. 1.Instituto de Matemática Aplicada del Litoral CONICET-UNL, and Facultad de Ingeniería Química, UNLSanta FeArgentina

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