Growth of the Poisson-Stieltjes Integral in a Polydisc
We describe the growth of the valueM∞(r1,..., rrn, v) = max{|v(z1,...,zn)| : |zj| ≤ rj}, 0 ≤ rj < 1 in terms of the modulus of continuity of a measure μ, where the function v is represented by the Poisson-Stieltjes integral.
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2011 |
| Main Authors: | , |
| 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/123456789/106669 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Growth of the Poisson-Stieltjes Integral in a Polydisc / I. Chyzhykov, Zolota O. Zolota // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 2. — С. 141-157. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723679982452736 |
|---|---|
| author | Chyzhykov, I. Zolota, O. |
| author_facet | Chyzhykov, I. Zolota, O. |
| citation_txt | Growth of the Poisson-Stieltjes Integral in a Polydisc / I. Chyzhykov, Zolota O. Zolota // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 2. — С. 141-157. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | We describe the growth of the valueM∞(r1,..., rrn, v) = max{|v(z1,...,zn)| : |zj| ≤ rj}, 0 ≤ rj < 1 in terms of the modulus of continuity of a measure μ, where the function v is represented by the Poisson-Stieltjes integral.
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| first_indexed | 2025-12-07T18:43:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106669 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T18:43:09Z |
| publishDate | 2011 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Chyzhykov, I. Zolota, O. 2016-10-01T19:27:33Z 2016-10-01T19:27:33Z 2011 Growth of the Poisson-Stieltjes Integral in a Polydisc / I. Chyzhykov, Zolota O. Zolota // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 2. — С. 141-157. — Бібліогр.: 7 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106669 We describe the growth of the valueM∞(r1,..., rrn, v) = max{|v(z1,...,zn)| : |zj| ≤ rj}, 0 ≤ rj < 1 in terms of the modulus of continuity of a measure μ, where the function v is represented by the Poisson-Stieltjes integral. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Growth of the Poisson-Stieltjes Integral in a Polydisc Article published earlier |
| spellingShingle | Growth of the Poisson-Stieltjes Integral in a Polydisc Chyzhykov, I. Zolota, O. |
| title | Growth of the Poisson-Stieltjes Integral in a Polydisc |
| title_full | Growth of the Poisson-Stieltjes Integral in a Polydisc |
| title_fullStr | Growth of the Poisson-Stieltjes Integral in a Polydisc |
| title_full_unstemmed | Growth of the Poisson-Stieltjes Integral in a Polydisc |
| title_short | Growth of the Poisson-Stieltjes Integral in a Polydisc |
| title_sort | growth of the poisson-stieltjes integral in a polydisc |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106669 |
| work_keys_str_mv | AT chyzhykovi growthofthepoissonstieltjesintegralinapolydisc AT zolotao growthofthepoissonstieltjesintegralinapolydisc |