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Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures

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Abstract

In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.

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Authors and Affiliations

  1. Santa Fe, Argentina

    Osvaldo Gorosito, Gladis Pradolini & Oscar Salinas

  2. Facultad de Ingeniería Química de la Universidad Nacional del Litoral, Santiago del Estero 2829, Santa Fe, (3000), Argentina

    Osvaldo Gorosito

  3. Consejo Nacional de Investigaciones Científicas y Técnicas, Facultad de Ingeniería Química de la Universidad Nacional del Litoral, Güemes 3450, Santa Fe, (3000), Argentina

    Gladis Pradolini & Oscar Salinas

Authors
  1. Osvaldo Gorosito
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  2. Gladis Pradolini
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  3. Oscar Salinas
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Correspondence to Osvaldo Gorosito.

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Gorosito, O., Pradolini, G. & Salinas, O. Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures. Czech Math J 60, 1007–1023 (2010). https://doi.org/10.1007/s10587-010-0089-0

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  • DOI: https://doi.org/10.1007/s10587-010-0089-0

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