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Functional Analysis and Its Applications

, Volume 49, Issue 3, pp 226–229 | Cite as

Nikolskii inequality and functional classes on compact lie groups

  • E. D. Nursultanov
  • M. V. Ruzhansky
  • S. Yu. Tikhonov
Brief Communications

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 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • E. D. Nursultanov
    • 1
  • M. V. Ruzhansky
    • 2
  • S. Yu. Tikhonov
    • 3
  1. 1.Moscow State University (Kazakhstan branch)Eurasian National UniversityMoscowRussia
  2. 2.Department of Mathematics Imperial College LondonLondonUK
  3. 3.ICREA and Centre de Recerca Matemàtica (CRM)BarcelonaSpain

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