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On the boundary behavior of conjugate harmonic functions
It is proved that if a harmonic function u on the unit disk D in C has angular limits on a measurable set E of the unit circle, then its conjugate harmonic function v in D also has (finite !) angular limits a.e. on E and both boundary functions are measurable on E. The result is extended to arbitrar...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
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| Series: | Праці Інституту прикладної математики і механіки НАН України |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/145115 |
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