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Matematicheskie Zametki, 1973, Volume 14, Issue 4, Pages 479–486 (Mi mzm7278)  
Conditions under which higher derivatives belong to the classes $\varphi(L)$

N. Temirgaliev

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (477 kB)
Abstract: In this work we will establish a sufficient condition under which the higher derivatives of $2\pi$-periodic absolutely continuous functions belong to the Orlicz classes $\varphi(L)$; if $\varphi(2t)=O(\varphi(t))$ $(t\to\infty)$, the condition is also necessary.
Received: 05.01.1973
English version:
Mathematical Notes, 1973, Volume 14, Issue 4, Pages 832–836
DOI: https://doi.org/10.1007/BF01108807
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. Temirgaliev, “Conditions under which higher derivatives belong to the classes $\varphi(L)$”, Mat. Zametki, 14:4 (1973), 479–486; Math. Notes, 14:4 (1973), 832–836
Citation in format AMSBIB
\Bibitem{Tem73}
\by N.~Temirgaliev
\paper Conditions under which higher derivatives belong to the classes $\varphi(L)$
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 4
\pages 479--486
\mathnet{http://mi.mathnet.ru/mzm7278}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=333713}
\zmath{https://zbmath.org/?q=an:0295.46047}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 4
\pages 832--836
\crossref{https://doi.org/10.1007/BF01108807}
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