P. Villarroya

activity

20072024

most citedSharp estimates for maximal operators associated to the wave equation

25 citations · 50 across the 11 of their papers we have counts for

collaborators

12 papers

math.CA2024

Sparse Domination of Singular Bilinear Forms on Non-Homogeneous spaces

Paco Villarroya

We introduce a new sparse $T 1$ theorem that estimates the dual pair associated with a Calderon-Zygmund operator by a sub-bilinear form supported on a sparse family of cubes. The ma…

math.CA2021

New Local T1 Theorems on non-homogeneous spaces

Paco Villarroya

We develop new local $T 1$ theorems to characterize Calderón-Zygmund operators that extend boundedly or compactly on $L^{p} (R^{n}, μ)$ with $μ$ a measure of power growth. The…

math.CA2019

Sparse domination results for compactness on weighted spaces

Cody B. Stockdale, Paco Villarroya, Brett D. Wick

By means of appropriate sparse bounds, we deduce compactness on weighted $L^{p} (w)$ spaces, $1 < p < \infty$ , for all Calderón-Zygmund operators having compact extensions on $L^2(\mathbb…

math.CA2017

A global Tb Theorem for compactness and boundedness

Paco Villarroya

We prove a Tb Theorem that characterizes all Calderon-Zygmund operators that extend compactly on L^p(R^n), 1<p<\infty . The result, whose proof does not require the property of acc…

math.CA2017★ 6 cited

Endpoint compactness of singular integrals and perturbations of the Cauchy Integral

Karl-Mikael Perfekt, Sandra Pott, Paco Villarroya

We prove sufficient and necessary conditions for compactness of Calderón-Zygmund operators on the endpoint from $L^{\infty} (R)$ into $CMO (R)$ . We use this re…

math.CA2017

Off-diagonal and pointwise estimates for compact Calderon-Zygmund operators

Paco Villarroya

We prove several off-diagonal and pointwise estimates for singular integral operators that extend compactly on $L^{p} (R^{n})$ .