Artículos de revistas
On pointwise and weighted estimates for commutators of Calderón–Zygmund operators
Fecha
2017-10Registro en:
Lerner, Andrei K.; Ombrosi, Sheldy Javier; Rivera Ríos, Israel Pablo; On pointwise and weighted estimates for commutators of Calderón–Zygmund operators; Academic Press Inc Elsevier Science; Advances in Mathematics; 319; 10-2017; 153-181
0001-8708
CONICET Digital
CONICET
Autor
Lerner, Andrei K.
Ombrosi, Sheldy Javier
Rivera Ríos, Israel Pablo
Resumen
In recent years, it has been well understood that a Calderón–Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar pointwise estimate for the commutator [b,T] with a locally integrable function b. This result is applied into two directions. If b∈BMO, we improve several weighted weak type bounds for [b,T]. If b belongs to the weighted BMO, we obtain a quantitative form of the two-weighted bound for [b,T] due to Bloom–Holmes–Lacey–Wick.