Answers are grounded in this paper and cite their sources.
We establish the mapping properties of Fourier-type transforms on rearrangement-invariant quasi-Banach function spaces. In particular, we have the mapping properties of the Laplace transform, the Hankel transforms, the Kontorovich-Lebedev transform and some oscillatory integral operators. We achieve these mapping properties by using an interpolation functor that can explicitly generate a given rearrangement-invariant quasi-Banach function space via Lebesgue spaces.
No takes yet. Share an insight, caveat, or question.
Kwok‐Pun Ho (2018) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: