Littlewood-Paley g-function and Radon Transform on the Heisenberg Group

Authors

  • Zheng Fang
  • Jianxun He School of Mathematics and Information Sciences, Guangzhou University

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.3175

Keywords:

Heisenberg group, Little-wood Pelay g-function, Radon transform

Abstract

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 define the Littlewood-Paley g-function on a hyperplane and obtain the Littlewood-Paley theory.

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Published

2018-01-30

Issue

Vol. 11 No. 1: (January 2018)

Section

Functional Analysis

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How to Cite

Littlewood-Paley g-function and Radon Transform on the Heisenberg Group. (2018). European Journal of Pure and Applied Mathematics, 11(1), 138-149. https://doi.org/10.29020/nybg.ejpam.v11i1.3175