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

Abstract

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.

References in corpus (1)

• Analysis of joint spectral multipliers on Lie groups of polynomial growth

Cited by in corpus (4)

• Decay estimates for the linear damped wave equation on the Heisenberg group
• Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type
• Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group
• A sharp multiplier theorem for solvable extensions of Heisenberg and related groups