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Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika, 2000, Issue 7, Pages 83–105
(Mi pa94)
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Интегральные средние производных локально однолистных функций Блоха
V. V. Starkov Petrozavodsk State University, Faculty of Mathematics
Abstract:
In this paper we give examples of locally univalent Bloch functions $f_{k}, (k=0,1,2,\dots )$, such that for $p\ge 1/2$ the integral means $I_{p} (r,f')=\frac{1}{2\pi}\int\limits_{0}^{2\pi}|f'(re^{i\theta})|^{p}d\theta, p\ge 1/2, r\in [0,1)$, behave like $c_{k}(1-r)^{1/2-p}(-log(1-r))^{k}$ for $r\to 1^{-}$.
Citation:
V. V. Starkov, “Интегральные средние производных локально однолистных функций Блоха”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2000, no. 7, 83–105
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https://www.mathnet.ru/eng/pa94 https://www.mathnet.ru/eng/pa/y2000/i7/p83
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Abstract page: | 115 | Full-text PDF : | 35 |
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