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Уфимский математический журнал, 2015, том 7, выпуск 4, страницы 160–171
(Mi ufa311)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
About a conjecture regarding plurisubharmonic functions
A. Bërdëllima Department of Computer Engineering, Faculty of Architecture and Engineering, Epoka University, Albania
Аннотация:
In this work we present Khabibullin's conjecture in its different equivalent forms. Applying the concept of the integral operator, we transform the original conjecture into a new form which proves to be helpful in studying it by means of the Laplace transform. Using Laplace transform of integral inequalities, we are able to show the uniqueness of a solution that satisfies both inequalities with identity. Furthermore we provide a new proof of Khabibullin's theorem by methods of the Laplace transform and contour integration from complex analysis. However, this method of transform fails to prove the conjecture and a brief reasoning is provided.
Ключевые слова:
Khabibullin's hypothesis, integral inequalities, plurisubharmonic function, Laplace transform, complex analysis, contour integration, sharp estimate.
Образец цитирования:
A. Bërdëllima, “About a conjecture regarding plurisubharmonic functions”, Уфимск. матем. журн., 7:4 (2015), 160–171; Ufa Math. J., 7:4 (2015), 154–165
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ufa311 https://www.mathnet.ru/rus/ufa/v7/i4/p160
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Страница аннотации: | 232 | PDF полного текста: | 82 | Список литературы: | 70 |
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