The Equivalence of Certain Norms on the Heisenberg Group - Advances in Pure Mathematics

APM > Vol.3 No.6, September 2013

Advances in Pure Mathematics

Volume 3, Issue 6 (September 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

The Equivalence of Certain Norms on the Heisenberg Group ()

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Download as PDF (Size: 159KB) PP. 576-578

DOI: 10.4236/apm.2013.36073 3,859 Downloads 6,832 Views Citations

Author(s)

Murphy E. Egwe

Affiliation(s)

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

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

Share and Cite:

M. Egwe, "The Equivalence of Certain Norms on the Heisenberg Group," Advances in Pure Mathematics, Vol. 3 No. 6, 2013, pp. 576-578. doi: 10.4236/apm.2013.36073.

Cited by

[1]	Poincar\'e inequalities on Carnot Groups and spectral gap of Schr\" odinger operators
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[2]	Spherical-Radial Multipliers on the Heisenberg Group
	2020

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