Remarks on g-functions on ⁿ

In this paper, the authors study some properties of Littlewood-Paley g-functions g _ψ (f), Lusin area functions S _ψ,α (f) and Littlewood-Paley $$ g∧{*}_{{\psi ,\lambda }} {\left( f \right)} $$ functions defined on ⁿ , where α, λ > 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on ⁿ .