@article{oai:nagoya.repo.nii.ac.jp:00026247, author = {Bez, Neal and Jeavons, Chris and Ozawa, Tohru and Sugimoto, Mitsuru}, issue = {2}, journal = {The Journal of Geometric Analysis}, month = {Apr}, note = {We prove stable versions of trace theorems on the sphere in L^2 with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stability for the trace theorem into L^q 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., ファイル公開:2019/04/01}, pages = {1456--1476}, title = {Stability of Trace Theorems on the Sphere}, volume = {28}, year = {2018} }