Abstract
We prove stable versions of trace theorems on the sphere in L2 with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into Lq for q> 2 , by combining a refined Hardy–Littlewood–Sobolev inequality on the sphere with a duality–stability result proved very recently by Carlen. Finally, we extend a local version of Carlen’s duality theorem to establish local stability of certain Strichartz estimates for the kinetic transport equation.
Original language | English |
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Pages (from-to) | 1456-1476 |
Number of pages | 21 |
Journal | Journal of Geometric Analysis |
Volume | 28 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2018 Apr 1 |
Keywords
- Duality
- Stability estimates
- Trace theorems
ASJC Scopus subject areas
- Geometry and Topology