Abstract
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 ℍn, where α, λ > 0 and ψ, f are suitable functions. They are the generalization of the corresponding operators on ℝn.
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Supported by the National 973 Project (G. 19990751) and the SEDF of China (20010027002) and Math. Tianyuan Project
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Liu, M.J., Lu, S.Z. Remarks on g–functions on ℍn . Acta Math Sinica 23, 7–16 (2007). https://doi.org/10.1007/s10114-005-0760-9
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DOI: https://doi.org/10.1007/s10114-005-0760-9