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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.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…