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Littlewood-Paley g-function and Radon transform on the Heisenberg group

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Abstract (2. Language): 
In this paper, we consider Radon transform on the Heisenberg group Hn, and obtain new inversion formulas via dual Radon transforms and Poisson integrals. We prove that the Radon transform is a unitary operator from Sobelov space W into L2(Hn). Moreover, we use the Radon transform to de ne the Littlewood-Paley g-function on a hyperplane and obtain the Littlewood- Paley theory.

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