Artículo
We show that if v∈ A∞ and u∈ A1, then there is a constant c depending on the A1 constant of u and the A∞ constant of v such that ∥T(fv)v∥L1,∞(uv)≤c‖f‖L1(uv),where T can be the Hardy–Littlewood maximal function or any Calderón–Zygmund operator. This result was conjectured in Cruz-Uribe et al. (Int Math Res Not 30:1849–1871, 2005) and constitutes the most singular case of some extensions of several problems proposed by Sawyer and Muckenhoupt and Wheeden. We also improve and extends several quantitative estimates. We show that if v∈A∞ and u∈A1 , then there is a constant c depending on the A1 constant of u and the A∞ constant of v such that
T ( f v) v L1,∞(uv) ≤ c f L1(uv),
where T can be the Hardy–Littlewood maximal function or any Calderón–Zygmund operator. This result was conjectured in Cruz-Uribe et al. (Int Math Res Not 30:1849–1871, 2005) and constitutes the most singular case of some extensions of several problems proposed by Sawyer and Muckenhoupt and Wheeden. We also improve and extends several quantitative estimates.
Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates
Fecha de publicación:
06/2019
Editorial:
Springer Heidelberg
Revista:
Mathematische Annalen
ISSN:
0025-5831
e-ISSN:
1432-1807
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Palabras clave:
INEQUALITIES
,
MIXED
,
WEIGHTED
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Kangwei, Li; Ombrosi, Sheldy Javier; Pérez, Carlos; Proof of an extension of E. Sawyer’s conjecture about weighted mixed weak-type estimates; Springer Heidelberg; Mathematische Annalen; 374; 1-2; 6-2019; 907-929
Compartir
Altmétricas