14 citations · 28 across the 21 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
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 for which T(μ) vanishes (in a weak sense) on the supp…
math.CA2013
Three revolutions in the kernel are worse than one
Benjamin Jaye, Fedor Nazarov
An example is constructed of a purely unrectifiable measure for which the singular integral operator whose kernel triples and reverses the argument of a complex number is bound…
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…