An interpolation theorem between one-sided Hardy spaces

Mostrar todas las versiones(3)

In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every a...

Descripción completa

Detalles Bibliográficos
Autores principales: Ombrosi, S., Segovia, C., Testoni, R.
Formato: Artículo publishedVersion
Publicado: 2006
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00042080_v44_n2_p335_Ombrosi
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00042080_v44_n2_p335_Ombrosi_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_00042080_v44_n2_p335_Ombrosi_oai
record_format dspace
spelling I28-R145-paper_00042080_v44_n2_p335_Ombrosi_oai2024-08-16 Ombrosi, S. Segovia, C. Testoni, R. 2006 In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every atom there exists another atom supported contiguously at its right. In order to obtain this decomposition we have developed a rather simple technique to break up an atom into a sum of others atoms. © 2006 by Institut Mittag-Leffler. All rights reserved. Fil:Ombrosi, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Testoni, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00042080_v44_n2_p335_Ombrosi info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Ark. Mat. 2006;44(2):335-348 An interpolation theorem between one-sided Hardy spaces info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00042080_v44_n2_p335_Ombrosi_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
description In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every atom there exists another atom supported contiguously at its right. In order to obtain this decomposition we have developed a rather simple technique to break up an atom into a sum of others atoms. © 2006 by Institut Mittag-Leffler. All rights reserved.
format Artículo
Artículo
publishedVersion
author Ombrosi, S.
Segovia, C.
Testoni, R.
spellingShingle Ombrosi, S.
Segovia, C.
Testoni, R.
An interpolation theorem between one-sided Hardy spaces
author_facet Ombrosi, S.
Segovia, C.
Testoni, R.
author_sort Ombrosi, S.
title An interpolation theorem between one-sided Hardy spaces
title_short An interpolation theorem between one-sided Hardy spaces
title_full An interpolation theorem between one-sided Hardy spaces
title_fullStr An interpolation theorem between one-sided Hardy spaces
title_full_unstemmed An interpolation theorem between one-sided Hardy spaces
title_sort interpolation theorem between one-sided hardy spaces
publishDate 2006
url http://hdl.handle.net/20.500.12110/paper_00042080_v44_n2_p335_Ombrosi
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00042080_v44_n2_p335_Ombrosi_oai
work_keys_str_mv AT ombrosis aninterpolationtheorembetweenonesidedhardyspaces
AT segoviac aninterpolationtheorembetweenonesidedhardyspaces
AT testonir aninterpolationtheorembetweenonesidedhardyspaces
AT ombrosis interpolationtheorembetweenonesidedhardyspaces
AT segoviac interpolationtheorembetweenonesidedhardyspaces
AT testonir interpolationtheorembetweenonesidedhardyspaces
_version_ 1809356943582560256

Ejemplares similares