Artículo
Maximal functions and the control of weighted inequalities for the fractional integral operator
Autor/es | Carro Rosell, María Jesús
Pérez Moreno, Carlos Soria de Diego, Fernando Soria de Diego, Francisco Javier |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2005 |
Fecha de depósito | 2016-06-16 |
Publicado en |
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Resumen | We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operator Mα controls these inequalities when the weight is radially decreasing. However, we exhibit ... We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operator Mα controls these inequalities when the weight is radially decreasing. However, we exhibit some counterexamples which show that Mα is not appropriate for this control on general weights. We do provide, nevertheless, some positive results related to this problem by considering other suitable maximal functions. |
Cita | Carro Rosell, M.J., Pérez Moreno, C., Soria de Diego, F. y Soria de Diego, F.J. (2005). Maximal functions and the control of weighted inequalities for the fractional integral operator. Indiana University Mathematics Journal, 54 (3), 627-644. |
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