Parabolic Harnack Inequalities and Riesz Transforms on Lie Groups of Polynomial growth

  • George Alexopoulos
Conference paper


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.


Vector Field Polynomial Growth Homogeneization Theory Homogenise Operator Left Invariant Vector Field 
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Copyright information

© Springer-Verlag Tokyo 1991

Authors and Affiliations

  • George Alexopoulos
    • 1
  1. 1.Department of MathematicsMcGill UniversityMontrealCanada

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