Artículo
Bloom weighted bounds for sparse forms associated to commutators
Fecha de publicación:
15/03/2024
Editorial:
Springer
Revista:
Mathematische Zeitschrift
e-ISSN:
1432-1823
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we consider bilinear sparse forms intimately related to iterated commutators ofa rather general class of operators. We establish Bloom weighted estimates for these formsin the full range of exponents, both in the diagonal and off-diagonal cases. As an application,we obtain new Bloom bounds for commutators of (maximal) rough homogeneous singularintegrals and the Bochner–Riesz operator at the critical index. We also raise the questionabout the sharpness of our estimates. In particular we obtain the surprising fact that even inthe case of Calderón–Zygmund operators, the previously known quantitative Bloom boundsare not sharp for the second and higher order commutators.
Palabras clave:
lTERATED COMMUTATORS
,
BILINEAR SPARSE FORMS
,
BLOOM WEIGHTED BOUNDS
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Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Lerner Andrei K.; Lorist, Emiel; Ombrosi, Sheldy Javier; Bloom weighted bounds for sparse forms associated to commutators; Springer; Mathematische Zeitschrift; 306; 73; 15-3-2024; 1-32
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