@article{badb21692196441bb413277a66c5ebb9,
title = "Stability of Trace Theorems on the Sphere",
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{\textquoteright}s duality theorem to establish local stability of certain Strichartz estimates for the kinetic transport equation.",
keywords = "Duality, Stability estimates, Trace theorems",
author = "Neal Bez and Chris Jeavons and Tohru Ozawa and Mitsuru Sugimoto",
note = "Funding Information: Acknowledgements This work was supported by the JSPS Grant-in-Aid for Young Scientists A No. 16H05995 (Bez), by the JSPS KAKENHI 26287022 and 26610021 (Sugimoto), and by the JSPS Fellowship for Overseas Researchers FY 2015-2016 (Jeavons, Ozawa). Publisher Copyright: {\textcopyright} 2017, Mathematica Josephina, Inc. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2018",
month = apr,
day = "1",
doi = "10.1007/s12220-017-9870-8",
language = "English",
volume = "28",
pages = "1456--1476",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "2",
}