Various Types of Convergence of Sequences of Subharmonic Functions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Various Types of Convergence of Sequences of Subharmonic Functions
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| Creator |
Nguyen Van Quynh
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| Description |
Let υn(x) be a sequence of subharmonic functions in a domain G is subset of Rm. The conditions under which the convergence of υn(x), as a sequence of generalized functions, implies its convergence in the Lebesgue spaces Lp(γ) are studied. The results similar to ours have been obtained earlier by Hörmander and also by Ghisin and Chouigui. Hörmander investigated the case where the measure γ is some restriction of the m-dimensional Lebesgue measure. Grishin and Chouigui considered the case m = 2. In this paper we consider the case m > 2 and general measures γ.
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| Date |
2017-05-27T19:10:00Z
2017-05-27T19:10:00Z 2015 |
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| Type |
Article
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| Identifier |
Various Types of Convergence of Sequences of Subharmonic Functions / Nguyen Van Quynh // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 1. — С. 63-74— Бібліогр.: 6 назв. — англ.
1812-9471 DOI: 10.15407/mag11.01.063 MSC2000: 31A05, 30D30. http://dspace.nbuv.gov.ua/handle/123456789/117984 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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