Stability of Trace Theorems on the Sphere
نویسنده
چکیده
We prove stable versions of trace theorems on the sphere in L with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into L 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.
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