Boundedness of Bilinear Bessel Potentials
Functional Analysis
2026-03-18 v1
Abstract
In analogy with bilinear Riesz potentials, we introduce bilinear Bessel potentials and characterize their boundedness from into Lebesgue and Lorentz spaces In several cases we identify the optimal Lorentz indices by constructing explicit counterexamples.
Cite
@article{arxiv.2603.15962,
title = {Boundedness of Bilinear Bessel Potentials},
author = {Ana Čolović and Xinyu Gao},
journal= {arXiv preprint arXiv:2603.15962},
year = {2026}
}