Boas' problem for Hankel transforms
Classical Analysis and ODEs
2019-07-23 v1
Abstract
Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas'-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are also given.
Cite
@article{arxiv.1907.09253,
title = {Boas' problem for Hankel transforms},
author = {Alberto Debernardi},
journal= {arXiv preprint arXiv:1907.09253},
year = {2019}
}