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math.CA2016★ 35 cited
Maximal operators and Hilbert transforms along variable non-flat homogeneous curves
Shaoming Guo, Jonathan Hickman, Victor Lie +1
We prove that the maximal operator associated with variable homogeneous planar curves , positive, is bounded on for each…
math.CA2016
Some remarks on the Lipschitz regularity of Radon transforms
Jonas Azzam, Jonathan Hickman, Sean Li
A set in the Euclidean plane is constructed whose image under the classical Radon transform is Lipschitz in every direction. It is also shown that, under mild hypotheses, for any s…