On approximation of maximal operators

• Autores: Hugo Aimar, Marilina Carena, Bibiana Iaffei
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 87-99
• Idioma: inglés
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• Resumen

  • We prove that the weak type (1; 1) boundedness of the maximal of a sequence of integral operators on a metric measure space X follows from the uniform weak type on Dirac deltas of the restriction of the operators to a sequence of approximations of X.