The Equivalence of Certain Norms on the Heisenberg Group

Murphy E. Egwe^{*}

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References

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[6] G. B. Folland, “A Fundamental Solution for a Subelliptic Operator,” Bulletin of the American Mathematical Society, Vol. 79, No. 2, 1973, p. 373.
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[7] J. R. Lee and A. Naor, “Lp Metrics on the Heisenberg Group and the Geomans-Linial Conjecture,” Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science, Berkeley, 21-24 October 2006, pp. 99-108.

[8] J. Cygan, “Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups,” Proceedings of the American Mathematical Society, Vol. 83, 1981, pp. 69-70.
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[9] N. Laghi and N. Lyall, “Strongly Singular Integral Operators Associated to Different Quasi-Norms on the Heisenberg Group,” Mathematical Research Letters, Vol. 14, No. 5, 2007, pp. 825-238.

[10] S. G. Krantz, “Explorations in Harmonic Analysis with Applications to Complex Function Theory and the Heisenberg Group,” Birkhauser, Boston, 2009.