Now showing items 1-9 of 9
Sharp reverse Hölder property for A∞ weights on spaces of homogeneous type [Article]
In this article we present a new proof of a sharp Reverse Hölder Inequality for A∞ weights. Then we derive two applications: a precise open property of Muckenhoupt classes and, as a consequence of this last result, we ...
Optimal exponents in weighted estimates without examples [Article]
(International Press, 2015)
t. We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator T satisfies a bound like kT kLp(w) ≤ c [w] β Ap w ∈ Ap, then the optimal lower bound ...
Reverse Hölder property for strong weights and general measures [Article]
We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 weights. The common ingredient is a multidimensional version ...
El principio de Calderón-Zygmund [Chapter of Book]
(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 ...
Extensions of Rubio de Francia's extrapolation theorem [Article]
(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, ...
Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture [Article]
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 ...
Potential operators, maximal functions, and generalizations of A∞ [Article]
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 ...
Lack of natural weighted estimates for some singular integral operators [Article]
(American Mathematical Society, 2005)
Sharp weighted estimates for multilinear commutators [Article]
(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 ...