Analysis

Download E-books Analysis of the Hodge Laplacian on the Heisenberg Group (Memoirs of the American Mathematical Society) PDF

By Marco M. Peloso, Fulvio Ricci

The authors reflect on the Hodge Laplacian ? at the Heisenberg team H n , endowed with a left-invariant and U(n) -invariant Riemannian metric. For 0=k=2n 1 , allow ? okay denote the Hodge Laplacian constrained to ok -forms. during this paper they deal with 3 major, comparable questions: (1) no matter if the L 2 and L p -Hodge decompositions, 1 (2) even if the Riesz transforms d? -12 ok are L p -bounded, for 1<<8 0="k=2n" 1="" ;="" (3)="" how="" to="" prove="" a="" sharp="" mihilin-hormander="" multiplier="" theorem="" for="" ?="" k="" ,="" .<="" div="">

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