Regularity of maximal functions associated to a critical radius function

• Autores: Bruno Bongioanni, Adrian Cabral, Eleonor O. Harboure
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 539-566
• Idioma: inglés
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• Resumen

  • In this work we obtain boundedness on BMO and Lipschitz type spaces in the context of a critical radius function. We deal with a local maximal operator and a maximal operator of a one parameter family of operators with certain conditions on its kernels that can be applied to the maximal of the semigroup in the context of a Schrödinger operator.