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Subelliptic estimates on compact semisimple Lie groups
Authors:Andrá  s Domokos,Roland EsquerraBob Jaffa,Tom Schulte
Affiliation:
  • Department of Mathematics and Statistics, California State University at Sacramento, 6000 J Street, Sacramento, CA, 95819, USA
  • Abstract:In this paper, we consider a natural subelliptic structure in semisimple, compact and connected Lie groups, and estimate the constant in the so-called subelliptic Friedrichs-Knapp-Stein inequality, which has implications in the regularity theory of p-energy minimizers.
    Keywords:Semisimple   Compact Lie group   Cartan subalgebra   Root space decomposition   Subelliptic analysis
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