Extremisers for the trace theorem on the sphere

2014/09/20 by Bez, Neal, Machihara, Shuji, Sugimoto, Mitsuru
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.5847

Abstract

We find all extremisers for the trace theorem on the sphere. We also provide a sharp extension for functions belonging to certain Sobolev spaces with angular regularity.

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