170 citations · 549 across the 20 of their papers we have counts for
6 papers · 1 filter
On conjecture and corona decomposition of weights
Carlos Perez, Sergei Treil, Alexander Volberg
We consider here a problem of finding the sharp estimate for the boundedness of an arbitrary Calderón-Zygmund operator in , . We first prove that for weight…
End-point estimates for iterated commutators of multilinear singular integrals
Carlos Perez, Gladis Pradolini, Rodolfo Torres +1
Iterated commutators of multilinear Calderon-Zygmund operators and pointwise multiplication with functions in are studied in products of Lebesgue spaces. Both strong type and…
Sharp bounds for general commutators on weighted Lebesgue spaces
Daewon Chung, Cristina Pereyra, Carlos Perez
We show that if an operator T is bounded on weighted Lebesgue space L^2(w) and obeys a linear bound with respect to the A_2 constant of the weight, then its commutator [b,T] with a…
The multilinear strong maximal function
Loukas Grafakos, Liguang Liu, Carlos Perez +1
A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund t…
Sharp weighted estimates for approximating dyadic operators
David Cruz-Uribe, Jose Maria Martell, Carlos Perez
We give a new proof of the sharp weighted inequality ||T||_{L^2(w)} \leq c [w]_{A_2} where is the Hilbert transform, a Riesz transform, the Beurling-Ahlfors operator or a…
Sharp weighted estimates for classical operators
David Cruz-Uribe, Jose Maria Martell, Carlos Perez
We give a new proof of the sharp one weight inequality for any operator that can be approximated by Haar shift operators such as the Hilbert transform, any Riesz transfor…