Buscar
Mostrando ítems 1-6 de 6
Artículo
Lack of natural weighted estimates for some singular integral operators
(American Mathematical Society, 2005)
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
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
Sharp weighted estimates for multilinear commutators
(London Mathematical Society, 2002-06)
Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by Formula are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists ...
Artículo
Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture
(Elsevier, 2007-12-20)
We prove two-weight norm inequalities for Calderón-Zygmund singular integrals that are sharp for the Hilbert transform and for the Riesz transforms. In addition, we give results for the dyadic square function and for ...
Artículo
Extensions of Rubio de Francia's extrapolation theorem
(Universitat de Barcelona, 2006)
One of the main results in modern harmonic analysis is the extrapolation theorem of J.L. Rubio de Francia for Ap weights. In this paper we discuss some recent extensions of this result. We present a new approach that, ...