On maximal functions for Mikhlin¿Hörmander multipliers

• Autores: Petr Honzik Loukas Grafokos, Andreas Seeger
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 204, Nº 2, 2006, págs. 363-378
• Idioma: inglés
• DOI: 10.1016/j.aim.2005.05.010
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• Resumen

  • Given Mikhlin¿Hörmander multipliers , with uniform estimates we prove an optimal bound in Lp for the maximal function and related bounds for maximal functions generated by dilations. These improve the results in [M. Christ, L. Grafakos, P. Honzík, A. Seeger, Maximal functions associated with multipliers of Mikhlin¿Hörmander type, Math. Z. 249 (2005) 223¿240].