Uniform Estimates for Damped Radon Transform on the Plane | Zendy

Youngwoo Choi | Zendy

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Uniform Estimates for Damped Radon Transform on the Plane

Author(s) -

Youngwoo Choi

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/582137

Subject(s) - mathematics , lorentz transformation , convolution (computer science) , radon transform , radon , lebesgue integration , plane (geometry) , affine transformation , mathematical analysis , curvature , invariant (physics) , pure mathematics , geometry , classical mechanics , mathematical physics , physics , machine learning , quantum mechanics , computer science , artificial neural network

Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are studied under mild assumptions on the rotational curvature. The results generalize previously known estimates. Also, they extend sharp estimates known for convolution operators with affine arclength measures to the semitranslation-invariant case

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