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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 ℍ n , where α, λ > 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on ℝ n . [ABSTRACT FROM AUTHOR]

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 ℍ n , where α, λ > 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on ℝ n . [ABSTRACT FROM AUTHOR]