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arXiv · 1307.3678

Three revolutions in the kernel are worse than one

Benjamin Jaye·Fedor Nazarov
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Abstract

An example is constructed of a purely unrectifiable measure $μ$ for which the singular integral operator whose kernel triples and reverses the argument of a complex number is bounded $L^2(μ)$. This is in sharp contrast with the results known for the Cauchy transform, whose kernel reverses the argument of a complex number.

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Benjamin Jaye, Fedor Nazarov. 2013-07-13. Three revolutions in the kernel are worse than one. https://arxiv.org/abs/1307.3678

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