Boundedness of the fractional maximal operator on variable exponent Lebesgue spaces: A short proof

• Osvaldo Gorosito ^[1] ; Gladis Pradolini ^[1] ; Oscar Salinas ^[1]
  1. [1] Universidad Nacional del Litoral

     Universidad Nacional del Litoral

     Argentina

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 53, Nº. 1, 2012, págs. 25-27
• Idioma: inglés
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• Resumen

  • We give a simple proof of the boundedness of the fractional maximal operator providing in this way an alternative approach to the one given by C. Capone, D. Cruz Uribe and A. Fiorenza in The fractional maximal operator and fractional integrals on variable Lp spaces, Rev. Mat. Iberoam. 23 (2007), no. 3, 743-770.