Título inglés |
Translation averages of dyadic weights are not always good weights. |
Título español |
Los promedios de traslación de pesos diádicos no siempre son buenos pesos. |
Autor/es |
Ward, Lesley A. |
Organización |
Dep. Math. Harvey Mudd College, Claremont (California), Estados Unidos |
Revista |
0213-2230 |
Publicación |
2002, 18 (2): 377-407, 11 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The process of translation averaging is known to improve dyadic BMO to the space BMO of functions of bounded mean oscillation, in the sense that the translation average of a family of dyadic BMO functions is necessarily a BMO function. The present work investigates the effect of translation averaging in other dyadic settings. We show that translation averages of dyadic doubling measures need not be doubling measures, translation averages of dyadic Muckenhoupt weights need not be Muckenhoupt weights, and translation averages of dyadic reverse Holder weights need not be reverse Holder weights. All three results are proved using the same construction. |
Clasificación UNESCO |
120213 |
Palabras clave español |
Funciones de oscilación media acotada ; Espacios de funciones ; Operadores maximales ; Funciones de peso ; Análisis de Fourier |
Código MathReviews |
MR1949833 |
Código Z-Math |
Zbl 1033.42018 |
Acceso al artículo completo |