Boundedness of Bilinear Bessel Potentials

Published 16 Mar 2026 in math.FA | (2603.15962v1)

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 $L^{r,α}.$ In several cases we identify the optimal Lorentz indices by constructing explicit counterexamples.

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