TITLE:
The Equivalence of Certain Norms on the Heisenberg Group
AUTHORS:
Murphy E. Egwe
KEYWORDS:
Heisenberg Group; Heisenberg Norms; Equivalent Norms; Homogeneous Group
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.6,
August
29,
2013
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.