Abstract
Let M be a complete non-compact Riemannian manifold. In this paper, we derive sufficient conditions on metric perturbation for stability of Lp-boundedness of the Riesz transform, p∈(2,∞). We also provide counter-examples regarding in-stability for Lp-boundedness of Riesz transform.
Original language | English (US) |
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Pages (from-to) | 39-65 |
Number of pages | 27 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 133 |
DOIs | |
State | Published - Jan 2020 |
Keywords
- Harmonic functions
- Heat kernels
- Perturbation
- Riesz transform
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics