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math.CA2016
Remarks on the Rellich inequality
Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade
We study the Rellich inequalities in the framework of equalities. We present equalities which imply the Rellich inequalities by dropping remainders. This provides a simple and dire…
math.CA2014★ 1 cited
Extremisers for the trace theorem on the sphere
Neal Bez, Shuji Machihara, Mitsuru Sugimoto
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.