Characterizations of Hardy spaces associated with Laplace–Bessel operators

In this paper, we obtain a characterization of HΔνp(R+n) Hardy spaces by using atoms associated with the radial maximal function, the nontangential maximal function and the grand maximal function related to Δν Laplace–Bessel operator for ν> 0 and 1 < p< ∞. As an application, we further establish an atomic characterization of Hardy spaces HΔνp(R+n) in terms of the high order Riesz–Bessel transform for 0 < p≤ 1. © 2019, Springer Nature Switzerland AG.