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INICIO |
27 de julio de 2024
On maximal functions with rough kernels in L (log L)1/2(Sn-1).
| Título inglés | On maximal functions with rough kernels in L (log L)1/2(Sn-1). |
|---|---|
| Título español | Funciones maximales con núcleos robustos en L (log L)1/2(Sn-1). |
| Autor/es | Al-Salman, Ahmad |
| Organización | Dep. Math. Yarmouk Univ., Irbid, Jordania |
| Revista | 0010-0757 |
| Publicación | 2005, 56 (1): 47-56, 13 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | In this paper, we study the Lp mapping properties of maximal functions with rough kernels that are related to certain class of singular integral operators. We prove that our maximal functions are bounded on Lp provided that their kernels are in L (log L)1/2(Sn-1). Moreover, we present an example showing that our size condition on the kernel is optimal. As a consequence of our result, we substantially improve previously known results on maximal functions, singular integral operators, and Parametric Marcinkiewicz integral operators. |
| Código Z-Math | Zbl 1086.42008 |
 Acceso al artículo completo |
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