Título inglés |
Norm inequalities for the minimal and maximal operator, and differentiation of the integral. |
Título español |
Desigualdades de norma para los operadores mínimo y máximo, y diferenciación de la integral. |
Autor/es |
Cruz-Uribe, David ; Neugebauer, Christoph J. ; Olesen, Victor |
Organización |
Dep. Math. Trinity Coll., Hartford (Connecticut), Estados Unidos; Dep. Math. Purdue Univ., West Lafayette (Indiana), Estados Unidos |
Revista |
0214-1493 |
Publicación |
1997, 41 (2): 577-604, 27 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
We study the weighted norm inequalities for the minimal operator, a new operator analogous to the Hardy-Littlewood maximal operator which arose in the study of reverse Hölder inequalities. We characterize the classes of weights which govern the strong and weak-type norm inequalities for the minimal operator in the two weight case, and show that these classes are the same. We also show that a generalization of the minimal operator can be used
to obtain information about the differentiability of the integral in cases when the associated maximal operator is large, and we give a new condition for this maximal operator to be weak (1, 1). |
Clasificación UNESCO |
120213 |
Palabras clave español |
Operador maximal de Hardy-Littlewood ; Análisis de Fourier ; Funciones medibles |
Código MathReviews |
MR1485505 |
Acceso al artículo completo |