First Baire class functions in the pluri-fine topology
Let B₁(Ω,R) be the first Baire class of real functions in the pluri-fine topology on an open set Ω ⊆ Cⁿ and let H₁* (Ω,R) be the first functional Lebesgue class of real functions in the same topology. We prove the equality B₁(Ω;R) = H₁* (Ω,R) and show that for every f ∊ B₁(Ω,R) there is a separately...
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| Published in: | Труды Института прикладной математики и механики |
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| Date: | 2016 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140855 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | First Baire class functions in the pluri-fine topology / O. Dovgoshey, M. Küçükaslan, J. Riihentaus // Труды Института прикладной математики и механики НАН Украины. — Слов’янськ: ІПММ НАН України, 2016. — Т. 30. — С. 53-60. — Бібліогр.: 17 назв. — англ. |