Geodesic
Kolmogorov's inequality for functions analytic in a half-plane
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 3-9 
R. R. Akopian. Kolmogorov's inequality for functions analytic in a half-plane. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 3-9. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The exact Kolmogorov inequality $$ \|f^{(k)}\|_p\le\|f\|_p^{1-k/n},\quad1\le k,\quad1\le p\le\infty, $$ is obtained in the Hardy space $H_p$ of functions analytic in a half-plane.

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