B. Jaye

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math.AP2016

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}}…