Add to ORKGWe consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in $\mathbb{R}$ with finite overlapping. Quantitative weighted estimates are obtained for this operator. The linear dependence on the characteristic of the weight $[w]_{A_{p/2}}$ turns out to be sharp for $3\le p<\infty$, whereas the sharpness in the range $2<p<3$ remains as an open question. Weighted weak-type estimates in the endpoint $p=2$ are also provided. The results arise as a consequence of a sparse domination shown for these operators, obtained by suitably adapting the ideas coming from Benea [2015] and Culiuc et al. [2018].2017 Leonardo grant for Researchers and Cultural Creators, BBVA Foundatio
AbstractWe prove that if a locally integrable f has a pointwise bounded dyadic square function, wher...
Altres ajuts: NWO/639.032.427We extend Rubio de Francia's extrapolation theorem for functions valued...
In this paper we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight versi...
We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary fa...
Let S¿ be the multilinear square function defined on the cone with aperture ¿¿1. In this paper, we i...
We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function an...
We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function an...
Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea for the operator \[...
We prove a quadratic sparse domination result for general non-integral square functions $S$. That is...
In this note, notwithstanding the generalization, we simplify and shorten the proofs of the main res...
We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes...
AbstractGiven a weight ω, we consider the space MLωp which coincides with Lωp when ω∈Ap. Sharp weigh...
We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes...
The Rubio de Francia extrapolation theorem is a very powerful result which states that in order to s...
Rubio de Francia proved the one-sided version of Littlewood--Paley inequality for arbitrary interval...
AbstractWe prove that if a locally integrable f has a pointwise bounded dyadic square function, wher...
Altres ajuts: NWO/639.032.427We extend Rubio de Francia's extrapolation theorem for functions valued...
In this paper we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight versi...
We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary fa...
Let S¿ be the multilinear square function defined on the cone with aperture ¿¿1. In this paper, we i...
We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function an...
We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function an...
Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea for the operator \[...
We prove a quadratic sparse domination result for general non-integral square functions $S$. That is...
In this note, notwithstanding the generalization, we simplify and shorten the proofs of the main res...
We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes...
AbstractGiven a weight ω, we consider the space MLωp which coincides with Lωp when ω∈Ap. Sharp weigh...
We prove sharp weak and strong type weighted estimates for a class of dyadic operators that includes...
The Rubio de Francia extrapolation theorem is a very powerful result which states that in order to s...
Rubio de Francia proved the one-sided version of Littlewood--Paley inequality for arbitrary interval...
AbstractWe prove that if a locally integrable f has a pointwise bounded dyadic square function, wher...
Altres ajuts: NWO/639.032.427We extend Rubio de Francia's extrapolation theorem for functions valued...
In this paper we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight versi...