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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 10, Pages 15–25
(Mi ivm9286)
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This article is cited in 2 scientific papers (total in 2 papers)
From the integral estimates of functions to uniform and locally averaged
R. A. Baladai, B. N. Khabibullin Bashkir State University,
32 Z. Validi str., Ufa, 450076 Russia
Abstract:
Problems of pointwise estimates from above of a function or its averages often arise in the function theory under known integral restrictions on the growth of this function. We offer an approach to such problems based on the integral Jensen inequality with the convex function.
Keywords:
holomorphic function, average value, convex function, (pluri-)subharmonic function, $\overline\partial$-problem, integral Jensen's inequality, measure space.
Received: 16.05.2016
Citation:
R. A. Baladai, B. N. Khabibullin, “From the integral estimates of functions to uniform and locally averaged”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 10, 15–25; Russian Math. (Iz. VUZ), 61:10 (2017), 11–20
Linking options:
https://www.mathnet.ru/eng/ivm9286 https://www.mathnet.ru/eng/ivm/y2017/i10/p15
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Statistics & downloads: |
Abstract page: | 228 | Full-text PDF : | 62 | References: | 37 | First page: | 5 |
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