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INICIO |
27 de julio de 2024
Maximal functions and related weight classes.
| Título inglés | Maximal functions and related weight classes. |
|---|---|
| Título español | Funciones maximales y clases de peso relacionados. |
| Autor/es | Sbordone, Carlo ; Wik, Ingemar |
| Organización | Dip. Mat. Appl. "R. Caccioppoli" Univ. Via Cintia, Nápoles, Italia;Dep. Math. Univ. Umea, Umea, Suecia |
| Revista | 0214-1493 |
| Publicación | 1994, 38 (1): 127-155, 10 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | The famous result of Muckenhoupt on the connection between weights w in Ap-classes and the boundedness of the maximal operator in Lp(w) is extended to the case p = ∞ by the introduction of the geometrical maximal operator. Estimates of the norm of the maximal operators are given in terms of the Ap-constants. The equality of two differently defined A∞-constants is proved. Thereby an answer is given to a question posed by R. Johnson. For non-increasing functions on the positive real line a parallel theory to the Ap-theory is established for the connection between weights in Bp-classes and maximal functions, thereby extending and developing the recent results of Ariño and Muckenhoupt. |
| Clasificación UNESCO | 120201 |
| Palabras clave español | Funciones de peso ; Operadores maximales ; Operador maximal de Hardy-Littlewood |
| Código MathReviews | MR1291957 |
 Acceso al artículo completo |
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