10 citations · 25 across the 12 of their papers we have counts for
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math.FA2015★ 9 cited
Nikolskii inequality and functional classes on compact Lie groups
E. D. Nursultanov, M. V. Ruzhansky, S. Yu. Tikhonov
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.
math.FA2015★ 10 cited
Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove new inequalities describing the relationship between the "size" of a function on a compact homogeneous manifold and the "size" of its Fourier coefficients. T…