Weighted norm inequalities for generalized Fourier-type transforms and applications
Classical Analysis and ODEs
2018-12-06 v1
Abstract
We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms to be bounded between weighted spaces. As an important example, we investigate transforms with kernel of power type, as for instance the sine, Hankel or transforms. The obtained necessary and sufficient conditions are given in terms of weights, but not in terms of their decreasing rearrangements, as in several previous investigations.
Cite
@article{arxiv.1812.01928,
title = {Weighted norm inequalities for generalized Fourier-type transforms and applications},
author = {A. Debernardi},
journal= {arXiv preprint arXiv:1812.01928},
year = {2018}
}