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// Trudy Instituta Matematiki i Mekhaniki UrO RAN
// Archive
Trudy Inst. Mat. i Mekh. 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
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
Fulltext:
PDF file (246 kB)
References
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2005, suppl. 2,
S1–S8
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
Fulltext:
PDF file (246 kB)