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arXiv · 2603.15962

Boundedness of Bilinear Bessel Potentials

Ana Čolović·Xinyu Gao
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Abstract

In analogy with bilinear Riesz potentials, we introduce bilinear Bessel potentials and characterize their boundedness from $L^p\times L^q$ into Lebesgue and Lorentz spaces $L^{r,\alpha}.$ In several cases we identify the optimal Lorentz indices by constructing explicit counterexamples.

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Ana Čolović, Xinyu Gao. 2026-03-16. Boundedness of Bilinear Bessel Potentials. https://arxiv.org/abs/2603.15962

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