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math.FA2014
Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds
Erlan Nursultanov, Michael Ruzhansky, Sergey Tikhonov
In this paper we prove Nikolskii's inequality on general compact Lie groups and on compact homogeneous spaces with the constant interpreted in terms of the eigenvalue counting func…
math.FA2014★ 5 cited
Hardy-Littlewood inequalities and Fourier multipliers on SU(2)
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove a noncommutative version of Hardy-Littlewood inequalities relating a function and its Fourier coefficients on the group . As a consequence, we use it…