On the Growth of the Cauchy-Szegő Transform in the Unit Ball
The growth of analytic and harmonic functions in the unit ball Bn represented by the Cauchy-Stieltjes or Poisson-Stieltjes integral is studied. A description of the growth is given in terms of smoothness of the Stieltjes measure.
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| Date: | 2015 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/118150 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Growth of the Cauchy-Szegő Transform in the Unit Ball / I. Chyzhykov, M. Voitovych // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 236-244. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The growth of analytic and harmonic functions in the unit ball Bn represented by the Cauchy-Stieltjes or Poisson-Stieltjes integral is studied. A description of the growth is given in terms of smoothness of the Stieltjes measure. |
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