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).

Bibliographic Details
Main Author: Mubariz T. Karaev
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2006/524947
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spelling 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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