Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1

In this paper we introduce the atomic Hardy space ${\mathcal{H}}^1((0,\infty ),{\gamma }_{\alpha })$ associated with the non-doubling probability measure $d{\gamma }_{\alpha }(x)=\frac{2x^{2\alpha +1}}{\Gamma (\alpha +1)}{e}^{-x^2}dx$…