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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 3, Pages 83–87
DOI: https://doi.org/10.4213/faa3192 (Mi faa3192) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Brief communications

Nikolskii Inequality and Functional Classes on Compact Lie Groups

E. D. Nursultanovab, M. V. Ruzhanskyc, S. Yu. Tikhonovde

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
Full-text PDF (187 kB) Citations (13)
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DOI: https://doi.org/10.4213/faa3192
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.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 4080 ГФ-4
3311 ГФ-4
Engineering and Physical Sciences Research Council EP/K039407/1
Leverhulme Trust RPG-2014-02
Generalitat de Catalunya 2014-SGR-289
MTM Grant Program 2014-59174-P
Russian Foundation for Basic Research 13-01-00043
Received: 15.09.2014
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 3, Pages 226–229
DOI: https://doi.org/10.1007/s10688-015-0110-3
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. D. Nursultanov, M. V. Ruzhansky, S. Yu. Tikhonov, “Nikolskii Inequality and Functional Classes on Compact Lie Groups”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 83–87; Funct. Anal. Appl., 49:3 (2015), 226–229
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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