Existence of Angular Boundary Values and Cauchy-Green Formula
The aim of the paper is to find the conditions on the function F(z), determined in the domain G and having in G continuous partial derivatives, for validity of the following statements: i) almost everywhere F(z) has the finite angular boundary values F(t) on γ = ∂G; ii) the boundary values F(t) are...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2011 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106661 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Existence of Angular Boundary Values and Cauchy-Green Formula / R.A. Aliyev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 3-18. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717187607756800 |
|---|---|
| author | Aliyev, R.A. |
| author_facet | Aliyev, R.A. |
| citation_txt | Existence of Angular Boundary Values and Cauchy-Green Formula / R.A. Aliyev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 3-18. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The aim of the paper is to find the conditions on the function F(z), determined in the domain G and having in G continuous partial derivatives, for validity of the following statements: i) almost everywhere F(z) has the finite angular boundary values F(t) on γ = ∂G; ii) the boundary values F(t) are A-integrable on γ; iii) the analog of the Cauchy-Green formula holds for F(z).
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| first_indexed | 2025-12-07T18:09:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106661 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T18:09:39Z |
| publishDate | 2011 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Aliyev, R.A. 2016-10-01T18:40:34Z 2016-10-01T18:40:34Z 2011 Existence of Angular Boundary Values and Cauchy-Green Formula / R.A. Aliyev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 3-18. — Бібліогр.: 14 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106661 The aim of the paper is to find the conditions on the function F(z), determined in the domain G and having in G continuous partial derivatives, for validity of the following statements: i) almost everywhere F(z) has the finite angular boundary values F(t) on γ = ∂G; ii) the boundary values F(t) are A-integrable on γ; iii) the analog of the Cauchy-Green formula holds for F(z). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Existence of Angular Boundary Values and Cauchy-Green Formula Article published earlier |
| spellingShingle | Existence of Angular Boundary Values and Cauchy-Green Formula Aliyev, R.A. |
| title | Existence of Angular Boundary Values and Cauchy-Green Formula |
| title_full | Existence of Angular Boundary Values and Cauchy-Green Formula |
| title_fullStr | Existence of Angular Boundary Values and Cauchy-Green Formula |
| title_full_unstemmed | Existence of Angular Boundary Values and Cauchy-Green Formula |
| title_short | Existence of Angular Boundary Values and Cauchy-Green Formula |
| title_sort | existence of angular boundary values and cauchy-green formula |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106661 |
| work_keys_str_mv | AT aliyevra existenceofangularboundaryvaluesandcauchygreenformula |