Линейно-инвариантные семейства, обобщающие $U'_{\alpha}$ и $U^*_{\alpha}$
Problemy analiza, no. 8 (2001), pp. 49-57
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The idea of linearly invariant families was introduced by Ch. Pommerenke in 1964. In the theory of linearly invariant families the later considered linearly invariant families $U'_{\alpha}$ and $U^*_{\alpha}$ of functions having an integral representation turned out to be especially interesting. In the paper we introduce a new linearly invariant family of functions given by Stieltjes integral. This family is wider than $U'_{\alpha}$ and $U^*_{\alpha}$.
@article{PA_2001_8_a4,
author = {V. V. Starkov and Z. J. Jakubowski},
title = {{\CYRL}{\cyri}{\cyrn}{\cyre}{\cyrishrt}{\cyrn}{\cyro}-{\cyri}{\cyrn}{\cyrv}{\cyra}{\cyrr}{\cyri}{\cyra}{\cyrn}{\cyrt}{\cyrn}{\cyrery}{\cyre} {\cyrs}{\cyre}{\cyrm}{\cyre}{\cyrishrt}{\cyrs}{\cyrt}{\cyrv}{\cyra}, {\cyro}{\cyrb}{\cyro}{\cyrb}{\cyrshch}{\cyra}{\cyryu}{\cyrshch}{\cyri}{\cyre} $U'_{\alpha}$ {\cyri} $U^*_{\alpha}$},
journal = {Problemy analiza},
pages = {49--57},
year = {2001},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_2001_8_a4/}
}
V. V. Starkov; Z. J. Jakubowski. Линейно-инвариантные семейства, обобщающие $U'_{\alpha}$ и $U^*_{\alpha}$. Problemy analiza, no. 8 (2001), pp. 49-57. http://geodesic.mathdoc.fr/item/PA_2001_8_a4/