B. Jaye

activity

20162022

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Showing 2016Show all

3 papers · 1 filter

math.CA2016

On the boundedness of non-integer dimension Calderón-Zygmund Operators with antisymmetric kernels

Benjamin Jaye, Fedor Nazarov

We characterize the non-atomic measures $μ$ for which all Calderón-Zygmund operators with antisymmetric kernels of a fixed non-integer dimension $s$ are bounded in $L^{2} (μ)$ in term…

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}}…