Abstract
Let Gbe a connected Lie group of polynomial growth, i.e. if dgis a left invariant Haar measure and Va compact neighborhood of the identity element eof G, then there are constants c, d> 0 such that dg — measure(V n ) ≤ cn d, n∈ N. Notice that the connected nilpotent Lie groups are of polynomial growth.
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© 1991 Springer-Verlag Tokyo
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Alexopoulos, G. (1991). Parabolic Harnack Inequalities and Riesz Transforms on Lie Groups of Polynomial growth. In: Igari, S. (eds) ICM-90 Satellite Conference Proceedings. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68168-7_1
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DOI: https://doi.org/10.1007/978-4-431-68168-7_1
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