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 |
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Petrozavodsk State University
2000-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1896 |
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doaj-5963ba81133c46b09286c51e91583be2 |
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Article |
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doaj-5963ba81133c46b09286c51e91583be22021-07-02T14:37:45ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322000-01-0131996316ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURESBARTNIK DOROTAIn 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.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1896 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
BARTNIK DOROTA |
| spellingShingle |
BARTNIK DOROTA ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES Проблемы анализа |
| author_facet |
BARTNIK DOROTA |
| author_sort |
BARTNIK DOROTA |
| title |
ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES |
| title_short |
ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES |
| title_full |
ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES |
| title_fullStr |
ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES |
| title_full_unstemmed |
ON SOME CLASS OF FUNCTIONS WITH AN INTEGRAL REPRESENTATION INVOLVING COMPLEX MEASURES |
| title_sort |
on some class of functions with an integral representation involving complex measures |
| publisher |
Petrozavodsk State University |
| series |
Проблемы анализа |
| issn |
2306-3424 2306-3432 |
| publishDate |
2000-01-01 |
| description |
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. |
| url |
http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1896 |
| work_keys_str_mv |
AT bartnikdorota onsomeclassoffunctionswithanintegralrepresentationinvolvingcomplexmeasures |
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1721327812448616448 |