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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Main Author: Mubariz T. Karaev
Format: Article
Language:English
Published: Wiley 2006-01-01
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).
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institution Kabale University
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publishDate 2006-01-01
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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