Funktsional. Anal. i Prilozhen., 2015 Volume 49, Issue 3, Pages 83–87
(Mi faa3192)
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13 papers
Brief communications Nikolskii Inequality and Functional Classes on Compact Lie Groups E. D. Nursultanov ab ,
M. V. Ruzhansky c ,
S. Yu. Tikhonov de a L. N. Gumilev Eurasian National University, Astana b Kazakhstan Branch of Lomonosov Moscow State University, Astana c Imperial College London, Department of Mathematics d Centre de Recerca Matemàtica e Institució Catalana de Recerca i Estudis Avancats, Barcelona Abstract:
In this note we study the Besov, Triebel–Lizorkin, Wiener, and Beurling function spaces on compact Lie groups.
A major role in the analysis is played by the Nikolskii inequality.
Keywords:
Nikolskii inequality, Besov spaces, Triebel–Lizorkin spaces, Wiener space, Beurling spaces, compact Lie groups.
UDC:
517.5
Received: 15.09.2014
DOI:
10.4213/faa3192
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