Sharp $L^p$-bounds for the wave equation on groups of Heisenberg type

Andreas Seeger; Detlef M\"uller

arxiv: 1408.3051 · v1 · pith:O5CKCSBUnew · submitted 2014-08-13 · 🧮 math.CA · math.AP

Sharp L^p-bounds for the wave equation on groups of Heisenberg type

Detlef M\"uller , Andreas Seeger This is my paper

classification 🧮 math.CA math.AP

keywords equationgroupsheisenbergsharptypewaveassociatedbounds

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Consider the wave equation associated with the Kohn Laplacian on groups of Heisenberg type. We construct parametrices using oscillatory integral representations and use them to prove sharp $L^p$ and Hardy space regularity results.

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Sharp L^p-bounds for the wave equation on groups of Heisenberg type

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