Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces

We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the weights u and w, whenever p > 1. For these values of p, we also give the comp...

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Detalles Bibliográficos
Autores principales:	Agora, Elona, Antezana, Jorge Abel, Carro, María Jesús, Soria, Javier
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2014
Materias:	Matemática Boyd indices Hilbert transform Hardy-littlewood maximal operator Lorentz spaces
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/101707 https://ri.conicet.gov.ar/11336/12164 https://academic.oup.com/jlms/article-abstract/89/2/321/833025/Lorentz-Shimogaki-and-Boyd-theorems-for-weighted?redirectedFrom=fulltext
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-101707
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Matemática Boyd indices Hilbert transform Hardy-littlewood maximal operator Lorentz spaces
spellingShingle	Matemática Boyd indices Hilbert transform Hardy-littlewood maximal operator Lorentz spaces Agora, Elona Antezana, Jorge Abel Carro, María Jesús Soria, Javier Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
topic_facet	Matemática Boyd indices Hilbert transform Hardy-littlewood maximal operator Lorentz spaces
description	We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the weights u and w, whenever p > 1. For these values of p, we also give the complete solution of the weak-type boundedness of the Hardy Littlewood operator on Λpu(w).
format	Articulo Articulo
author	Agora, Elona Antezana, Jorge Abel Carro, María Jesús Soria, Javier
author_facet	Agora, Elona Antezana, Jorge Abel Carro, María Jesús Soria, Javier
author_sort	Agora, Elona
title	Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_short	Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_full	Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_fullStr	Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_full_unstemmed	Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces
title_sort	lorentz-shimogaki and boyd theorems for weighted lorentz spaces
publishDate	2014
url	http://sedici.unlp.edu.ar/handle/10915/101707 https://ri.conicet.gov.ar/11336/12164 https://academic.oup.com/jlms/article-abstract/89/2/321/833025/Lorentz-Shimogaki-and-Boyd-theorems-for-weighted?redirectedFrom=fulltext
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Lorentz-Shimogaki and Boyd Theorems for weighted Lorentz spaces

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