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We investigate Lp boundedness of the maximal Bochner-Riesz means for self-adjoint operators of elliptic-type. Assuming the finite speed of propagation for the associated wave operator, from the restriction-type estimates we establish the sharp Lp boundedness of the maximal Bochner-Riesz means for the elliptic operators. As applications, we obtain the sharp Lp maximal bounds for the Schrödinger operators on asymptotically conic manifolds, elliptic operators on compact manifolds, or the Hermite operator and its perturbations on ℝn .
- Maximal Bochner-Riesz means
- non-negative self-adjoint operators
- finite speed propagation property
- elliptic-type estimates
- restriction-type conditions
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Li, J., Guo, Z., Kenig, C. & Nakanishi, K.
31/01/17 → …