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On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE
Journal article   Peer reviewed

On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE

András Domokos and Maria Fanciullo
The Journal of geometric analysis, Vol.17(2), pp.245-252
06/2007
DOI: https://doi.org/10.1007/BF02930723
Handle:
https://hdl.handle.net/20.500.12741/rep:6614

Abstract

Abstract Harmonic Analysis Fourier Analysis 35H20 Convex and Discrete Geometry Global Analysis and Analysis on Manifolds subelliptic PDE Mathematics Differential Geometry Dynamical Systems and Ergodic Theory Free nilpotent Lie group 43A80
In this article we propose to find the best constant for the Friedrichs-Knapp-Stein inequality in F2n,2, that is the free nilpotent Lie group of step two on 2n generators, and to prove the second-order differentiability of subelliptic p-harmonic functions in an interval of p.

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