The Bochner–Riesz means for Fourier–Bessel expansions

The Bochner–Riesz means for Fourier–Bessel expansions are analyzed. We prove a uniform two-weight inequality, with potential weights, for these means. The result provides necessary and sufficient conditions for boundedness. Moreover, we obtain some corollaries regarding the convergence of these means and the boundedness of other operators related to the Fourier–Bessel series.