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Abstract
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 .
Original language | English |
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Pages (from-to) | 3793-3828 |
Number of pages | 36 |
Journal | Transactions of the American Mathematical Society |
Volume | 373 |
Issue number | 6 |
Early online date | 2 Mar 2020 |
DOIs | |
Publication status | Published - Jun 2020 |
Keywords
- Maximal Bochner-Riesz means
- non-negative self-adjoint operators
- finite speed propagation property
- elliptic-type estimates
- restriction-type conditions
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Dive into the research topics of 'Bounds on the maximal bochner-riesz means for elliptic operators'. Together they form a unique fingerprint.Projects
- 2 Active
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Harmonic analysis and dispersive partial differential equations
Li, J., Guo, Z., Kenig, C. & Nakanishi, K.
31/01/17 → …
Project: Research
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Harmonic analysis of rough oscillations
Sikora, A., Portal, P., Hassell, A., Guillarmou, C. & van Neerven, J.
30/05/16 → …
Project: Research