ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES
In this paper we obtain some properties of functions extremal with respect to Frechet-differentiable functionals defined on P' α (see defifnition 1) and, in consequence, estimates of the functional Re{e iλ p(z)}, 0≠z∈K, λ∈ [ -π, π ), p∈P' α.
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Format: | Article |
Language: | English |
Published: |
Petrozavodsk State University
2000-01-01
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Series: | Проблемы анализа |
Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1896 |
Summary: | In this paper we obtain some properties of functions extremal with respect to Frechet-differentiable functionals defined on P' α (see defifnition 1) and, in consequence, estimates of the functional Re{e iλ p(z)}, 0≠z∈K, λ∈ [ -π, π ), p∈P' α. |
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ISSN: | 2306-3424 2306-3432 |