Analysis of the Hodge Laplacian on the Heisenberg Group (Memoirs of the American Mathematical Society) by Detlef Muller (PDF)

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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 .

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Free Download Analysis of the Hodge Laplacian on the Heisenberg Group (Memoirs of the American Mathematical Society) in PDF format
Analysis of the Hodge Laplacian on the Heisenberg Group (Memoirs of the American Mathematical Society) PDF Free Download
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Analysis of the Hodge Laplacian on the Heisenberg Group (Memoirs of the American Mathematical Society) PDF Free Download
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