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Nikolskii inequality and functional classes on compact Lie groups (1507.07111v1)
Published 25 Jul 2015 in math.FA, math.AP, math.CA, and math.RT
Abstract: In this note we study Besov, Triebel-Lizorkin, Wiener, and Beurling function spaces on compact Lie groups. A major role in the analysis is played by the Nikolskii inequality.