Michele Villa

activity

20192021

most citedCone and paraboloid points of arbitrary subsets of Euclidean space

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.CA2021★ 1 cited

Cone and paraboloid points of arbitrary subsets of Euclidean space

Matthew Hyde, Michele Villa

In this paper we characterise cone points of arbitrary subsets of Euclidean space. Given $E \subset R^{n}$ , $x \in E$ is a cone point of $E$ if and only if \begin{align*} \i…

math.CA2020

Sub-elliptic boundary value problems in flag domains

Tuomas Orponen, Michele Villa

A flag domain in $R^{3}$ is a subset of $R^{3}$ of the form ${(x, y, t) : y < A (x)}$ , where $A : R \to R$ is a Lipschitz function. We solve…

math.CA2019

A proof of Carleson's $ε^{2}$ -conjecture

Benjamin Jaye, Xavier Tolsa, Michele Villa

In this paper we provide a proof of the Carleson $ε^{2}$ -conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of…

math.CA2019

Higher dimensional Jordan curves

Michele Villa

We address the question of what is the correct higher dimensional analogue of Jordan curves from the point of view of quantitative rectifiability. More precisely, we show that 'top…

math.CA2019

$Ω$ -symmetric measures and related singular integrals

Michele Villa

Let $S \subset C$ be the circle in the plane, and let $Ω : S \to S$ be an odd bi-Lipschitz map with constant $1 + δ_{Ω}$ , where $δ_{Ω} > 0$ is small. Ass…

Cone and paraboloid points of arbitrary subsets of Euclidean space

Sub-elliptic boundary value problems in flag domains

A proof of Carleson's ε2-conjecture

Higher dimensional Jordan curves

Ω-symmetric measures and related singular integrals

A proof of Carleson's $ε^{2}$ -conjecture

$Ω$ -symmetric measures and related singular integrals