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 Izv. Vyssh. Uchebn. Zaved. Mat., 2017, Number 10, Pages 15–25 (Mi ivm9286)

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.

 Funding Agency Grant Number Russian Foundation for Basic Research 16-01-00024_a

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:10, 11–20

Bibliographic databases:

UDC: 517.552

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

Citation in format AMSBIB
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