The Equivalence of Certain Norms on the Heisenberg Group

Murphy E. Egwe

Department of Mathematics, Universty of Ibadan, Ibadan, Nigeria.

DOI: 10.4236/apm.2013.36073                

Abstract

Let IHn be the (2n+1)-dimensional Heisenberg group. In this paper, we shall give among other things, the properties of some homogeneous norms relative to dilations on the IHn and prove the equivalence of these norms.

Keywords

Heisenberg Group; Heisenberg Norms; Equivalent Norms; Homogeneous Group

Conflicts of Interest

The authors declare no conflicts of interest.

References

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