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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2005, Volume 11, Number 2, Pages 3–9 (Mi timm184)  
Kolmogorov's inequality for functions analytic in a half-plane

R. R. Akopian
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Abstract: The exact Kolmogorov inequality
$$ \|f^{(k)}\|_p\le\|f\|_p^{1-k/n},\quad1\le k<n,\quad1\le p\le\infty, $$
is obtained in the Hardy space $H_p$ of functions analytic in a half-plane.
Received: 06.09.2004
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Document Type: Article
Language: Russian
Citation: R. R. Akopian, “Kolmogorov's inequality for functions analytic in a half-plane”, Function theory, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 2, 2005, 3–9; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S1–S8
Citation in format AMSBIB
\Bibitem{Ako05}
\by R.~R.~Akopian
\paper Kolmogorov's inequality for functions analytic in a~half-plane
\inbook Function theory
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2005
\vol 11
\issue 2
\pages 3--9
\mathnet{http://mi.mathnet.ru/timm184}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2200218}
\zmath{https://zbmath.org/?q=an:1124.30016}
\elib{https://elibrary.ru/item.asp?id=12040699}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2005
\issue , suppl. 2
\pages S1--S8
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