Littlewood-paley G-function And Radon Transform On The Heisenberg Group

In this paper,the author considers Radon transform,dual Radon transform and Poisson integral on the Heisenberg group Hⁿ,and obtains some inversion formulas about Radon transform.Moveover,the author proves that the Radon transform is a unitary operator from Sobelov space W into^L₂?Hⁿ?.Furthermore,the author uses the hyperplane of Hⁿ to define the Littlewood-Paley g-function and obtains the Littlewood-Paley theory.