𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces

An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization. As an application, we provide with a characterization of symbols of bounded weighted composition operators and C...

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Main Author: Benoît Florent Sehba
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/926527
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author Benoît Florent Sehba
author_facet Benoît Florent Sehba
author_sort Benoît Florent Sehba
collection DOAJ
description An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization. As an application, we provide with a characterization of symbols of bounded weighted composition operators and Cesàro-type integral operators from these Hardy-Orlicz spaces to some classical holomorphic function spaces.
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-baaed45d48564469bae427c406b20e352025-02-03T06:08:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/926527926527𝑝-Carleson Measures for a Class of Hardy-Orlicz SpacesBenoît Florent Sehba0School of Mathematics, Trinity College Dublin, Dublin 2, IrelandAn alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization. As an application, we provide with a characterization of symbols of bounded weighted composition operators and Cesàro-type integral operators from these Hardy-Orlicz spaces to some classical holomorphic function spaces.http://dx.doi.org/10.1155/2011/926527
spellingShingle Benoît Florent Sehba
𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
International Journal of Mathematics and Mathematical Sciences
title 𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
title_full 𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
title_fullStr 𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
title_full_unstemmed 𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
title_short 𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
title_sort 𝑝 carleson measures for a class of hardy orlicz spaces
url http://dx.doi.org/10.1155/2011/926527
work_keys_str_mv AT benoitflorentsehba pcarlesonmeasuresforaclassofhardyorliczspaces