Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 7-26
Citer cet article
G. Ya. Bomash. The non-classical interpolation by analytic functions smooth up to the boundary. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 7-26. http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a0/
@article{ZNSL_1982_107_a0,
author = {G. Ya. Bomash},
title = {The non-classical interpolation by analytic functions smooth up to the boundary},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {7--26},
year = {1982},
volume = {107},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a0/}
}
TY - JOUR
AU - G. Ya. Bomash
TI - The non-classical interpolation by analytic functions smooth up to the boundary
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 7
EP - 26
VL - 107
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a0/
LA - ru
ID - ZNSL_1982_107_a0
ER -
%0 Journal Article
%A G. Ya. Bomash
%T The non-classical interpolation by analytic functions smooth up to the boundary
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 7-26
%V 107
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a0/
%G ru
%F ZNSL_1982_107_a0
Let $E$ be a closed subset of the unit circle $\mathbb T$. Necessary and sufficient conditions are found for validity of inclusion $X|_E\subset Y|_E$, $X$ being a Carleman class on $\mathbb T$ and $Y$ being an analytic Carleman or Hölder class.
