Analysis of the Hodge Laplacian on the Heisenberg Group
Häftad, Engelska, 2015
1 139 kr
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The authors consider the Hodge Laplacian Δ on the Heisenberg group H n , endowed with a left-invariant and U(n) -invariant Riemannian metric. For 0≤k≤2n 1 , let Δ k denote the Hodge Laplacian restricted to k -forms.In this paper they address three main, related questions:(1) whether the L 2 and L p -Hodge decompositions, 1(2) whether the Riesz transforms dΔ −12 k are L p -bounded, for 1<<∞ ; (3) how to prove a sharp Mihilin-Hörmander multiplier theorem for Δ k , 0≤k≤2n 1 .
Produktinformation
- Utgivningsdatum2015-01-30
- Mått178 x 254 x undefined mm
- Vikt166 g
- SpråkEngelska
- SerieMemoirs of the American Mathematical Society
- FörlagAmerican Mathematical Society
- EAN9781470409395