The Hardy-Littlewood maximal function and derivation of integrals

• Rubio, Baldomero ^[1]
  1. [1] Universidad de Madrid
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 26, Fasc. 3, 1975, págs. 219-226
• Idioma: inglés
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• Resumen

  • The Hardy-Littlewood maximal function is used to obtain a characterization of the derivation, with respect to a differentiation basis in Rn, for the integrals of locally integrable functions. New proofs of density properties relative to the bases of intervals and rectangles are given.