B. Jaye

activity

20102026

most citedLocal and global behaviour of nonlinear equations with natural growth terms

14 citations · 28 across the 21 of their papers we have counts for

collaborators

Showing math.APShow all

11 papers · 1 filter

math.AP2016★ 4 cited

The Riesz transform of codimension smaller than one and the Wolff energy

Benjamin Jaye, Fedor Nazarov, Maria Carmen Reguera +1

Fix $d \geq 2$ , and $s \in (d - 1, d)$ . We characterize the non-negative locally finite non-atomic Borel measures $μ$ in $R^{d}$ for which the associated $s$ -Riesz transform is b…

math.AP2016

Lower bounds for uncentered maximal functions in any dimension

Paata Ivanisvili, Benjamin Jaye, Fedor Nazarov

In this paper we address the following question: given $p \in (1, \infty)$ , $n \geq 1$ , does there exists a constant $A (p, n) > 1$ such that $\| M f\|_{L^{p}}\geq A(n,p) \| f\|_{L^{p}}…

math.AP2015

Reflectionless measures for Calderón-Zygmund operators II: Wolff potentials and rectifiability

Benjamin Jaye, Fedor Nazarov

We continue our study of the reflectionless measures associated to an $s$ -dimensional Calderón-Zygmund operator (CZO) acting in $R^{d}$ with $s \in (0, d)$ . Here, our focus wi…

math.AP2014★ 2 cited

Reflectionless measures for Calderón-Zygmund Operators I: Basic Theory

Benjamin Jaye, Fedor Nazarov

We study the properties of reflectionless measures for an $s$ -dimensional Calderón-Zygmund operator $T$ acting in $R^{d}$ , where $s \in (0, d)$ . Roughly speaking, these are th…

math.AP2013★ 4 cited

Reflectionless measures for Calderón-Zygmund operators

Benjamin Jaye, Fedor Nazarov

We study the properties of reflectionless measures for a Calderón-Zygmund operator T. Roughly speaking, these are measures $μ$ for which T(μ) vanishes (in a weak sense) on the supp…

math.AP2013

Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem

Benjamin Jaye, Fedor Nazarov

A new proof is given of the Mattila-Melnikov-Verdera theorem on the uniform rectifiability of an Ahlfors-David regular measure whose associated Cauchy transform operator is bounded…