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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Format: | Article |
Language: | English |
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Wiley
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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author | Mubariz T. Karaev |
author_facet | Mubariz T. Karaev |
author_sort | Mubariz T. Karaev |
collection | DOAJ |
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). |
format | Article |
id | doaj-art-2bd18a7bc4684d3e8308f263d1695c2f |
institution | Kabale University |
issn | 0972-6802 |
language | English |
publishDate | 2006-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces and Applications |
spelling | doaj-art-2bd18a7bc4684d3e8308f263d1695c2f2025-02-03T01:10:31ZengWileyJournal 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 |
spellingShingle | Mubariz T. Karaev New proof of Nagnibida's theorem Journal of Function Spaces and Applications |
title | 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_short | New proof of Nagnibida's theorem |
title_sort | new proof of nagnibida s theorem |
url | http://dx.doi.org/10.1155/2006/524947 |
work_keys_str_mv | AT mubariztkaraev newproofofnagnibidastheorem |