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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
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
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
(Elsevier, 2009-03-01)
A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller that the m-fold product of the Hardy-Littlewood maximal function is studied. The operator is used to obtain a precise control ...
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
Generalized Hörmander conditions and weighted endpoint estimates
(Polish Academy of Sciences, Institute of Mathematics, 2009)
We consider two-weight estimates for singular integral operators and their commutators with bounded mean oscillation functions. Hörmander type conditions in the scale of Orlicz spaces are assumed on the kernels. We prove ...
Artículo
Compactness properties of commutators of bilinear fractional integrals
(Springer, 2015-06)
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, ...
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, ...