The growth of H-harmonic functions on the Heisenberg group |
| |
| Authors: | HaiRong Liu Long Tian XiaoPing Yang |
| |
| Institution: | 1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China
2. School of Science, Nanjing Forestry University, Nanjing, 210037, China
|
| |
| Abstract: | We discuss the relationship between the frequency and the growth of H-harmonic functions on the Heisenberg group. Precisely, we prove that an H-harmonic function must be a polynomial if its frequency is globally bounded. Moreover, we show that a class of H-harmonic functions are homogeneous polynomials provided that the frequency of such a function is equal to some constant. |
| |
| Keywords: | Heisenberg group H-harmonic function frequency |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
|
