SOME REMARKS ON THE LIPSCHITZ REGULARITY OF RADON TRANSFORMS

作者：Azzam Jonas^*; Hickman Jonathan; Li Sean

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(10): 4331-4337.

DOI：10.1090/proc/14083

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 such set the function which maps a direction to the corresponding Lipschitz constant cannot be bounded.

• 出版日期2018-10