Hadamard Multipliers and Abel Dual of Hardy Spaces

Hadamard Multipliers and Abel Dual of Hardy Spaces

The paper is devoted to the study of Hadamard multipliers of functions from the abstract Hardy classes generated by rearrangement invariant spaces. In particular the relation between the existence of such multiplier and the boundedness of the appropriate convolution operator on spaces of measurable...

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Main Author: Paweł Mleczko
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/3262761
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spelling doaj-08c9545c468e40978c62a59c72c4e5342020-11-24T23:24:49ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/32627613262761Hadamard Multipliers and Abel Dual of Hardy SpacesPaweł Mleczko0Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, PolandThe paper is devoted to the study of Hadamard multipliers of functions from the abstract Hardy classes generated by rearrangement invariant spaces. In particular the relation between the existence of such multiplier and the boundedness of the appropriate convolution operator on spaces of measurable functions is presented. As an application, the description of Hadamard multipliers into H∞ is given and the Abel type theorem for mentioned Hardy spaces is proved.http://dx.doi.org/10.1155/2016/3262761
collection DOAJ
language English
format Article
sources DOAJ
author Paweł Mleczko
spellingShingle Paweł Mleczko
Hadamard Multipliers and Abel Dual of Hardy Spaces
Journal of Function Spaces
author_facet Paweł Mleczko
author_sort Paweł Mleczko
title Hadamard Multipliers and Abel Dual of Hardy Spaces
title_short Hadamard Multipliers and Abel Dual of Hardy Spaces
title_full Hadamard Multipliers and Abel Dual of Hardy Spaces
title_fullStr Hadamard Multipliers and Abel Dual of Hardy Spaces
title_full_unstemmed Hadamard Multipliers and Abel Dual of Hardy Spaces
title_sort hadamard multipliers and abel dual of hardy spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description The paper is devoted to the study of Hadamard multipliers of functions from the abstract Hardy classes generated by rearrangement invariant spaces. In particular the relation between the existence of such multiplier and the boundedness of the appropriate convolution operator on spaces of measurable functions is presented. As an application, the description of Hadamard multipliers into H∞ is given and the Abel type theorem for mentioned Hardy spaces is proved.
url http://dx.doi.org/10.1155/2016/3262761
work_keys_str_mv AT pawełmleczko hadamardmultipliersandabeldualofhardyspaces
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