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Artículo
Lack of natural weighted estimates for some singular integral operators
(American Mathematical Society, 2005)
Artículo
Extrapolation from A∞ weights and applications
(Elsevier, 2004-08-15)
We generalize the Ap extrapolation theorem of Rubio de Francia to A∞ weights in the context of Muckenhoupt bases. Our result has several important features. First, it can be used to prove weak endpoint inequalities starting ...
Artículo
Maximal functions and the control of weighted inequalities for the fractional integral operator
(Indiana University, 2005)
We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operator Mα controls these inequalities when the weight is radially decreasing. However, we exhibit ...
Capítulo de Libro
El principio de Calderón-Zygmund
(Universidad de La Rioja, 2001)
In this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any ...
Artículo
Artículo
Sharp weighted endpoint estimates for commutators of singular integral operators
(University of Michigan, 2001)
Artículo
Potential operators, maximal functions, and generalizations of A∞
(Springer, 2003-08)
We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal ...
Artículo
Two-weight, weak-type norm inequalities for fractional integrals, Calderón-Zygmund operators and commutators
(Indiana University, 2000)
We give Ap-type conditions which are sufficient for the two-weight, weak-type (p, p) inequalities for fractional integral operators, Calderón-Zygmund operators and commutators. For fractional integral operators, this solves ...
Artículo
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces
(Springer, 2003-09)
We define a class of summation operators with applications to the self-improving nature of Poincaré-Sobolev estimates, in fairly general quasimetric spaces of homogeneous type. We show that these sum operators play the ...
Artículo