New proof of Nagnibida's theorem
Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Jα,(Jαf)(z)=∫αzf(t)dt, acting in the space Hoℓ(Ω).
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2006-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2006/524947 |
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doaj-2bd18a7bc4684d3e8308f263d1695c2f2020-11-24T23:15:17ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022006-01-0141859010.1155/2006/524947New proof of Nagnibida's theoremMubariz T. Karaev0Suleyman Demirel University, Department of Mathematics, 32260 Isparta, TurkeyUsing the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Jα,(Jαf)(z)=∫αzf(t)dt, acting in the space Hoℓ(Ω).http://dx.doi.org/10.1155/2006/524947 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mubariz T. Karaev |
spellingShingle |
Mubariz T. Karaev New proof of Nagnibida's theorem Journal of Function Spaces and Applications |
author_facet |
Mubariz T. Karaev |
author_sort |
Mubariz T. Karaev |
title |
New proof of Nagnibida's theorem |
title_short |
New proof of Nagnibida's theorem |
title_full |
New proof of Nagnibida's theorem |
title_fullStr |
New proof of Nagnibida's theorem |
title_full_unstemmed |
New proof of Nagnibida's theorem |
title_sort |
new proof of nagnibida's theorem |
publisher |
Hindawi Limited |
series |
Journal of Function Spaces and Applications |
issn |
0972-6802 |
publishDate |
2006-01-01 |
description |
Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Jα,(Jαf)(z)=∫αzf(t)dt, acting in the space Hoℓ(Ω). |
url |
http://dx.doi.org/10.1155/2006/524947 |
work_keys_str_mv |
AT mubariztkaraev newproofofnagnibidastheorem |
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1725591131898511360 |