Growth of the Poisson-Stieltjes integrals in a half-plane (in Ukrainian)
Let u be a harmonic function represented by the Poisson-Stieltjes-type integral in the upper half-plane. We find necessary and sufficient conditions for the relationship M_∞(y,u):=sup_{x∈R} |u(x+iy)|=O(y^{−α}), α>0, y↓0.
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| Main Authors: | , |
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| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2011-05-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2011/35_2/155-164.pdf |
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