Bilinear Spherical Maximal Functions of Product Type

In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear spherical maximal function considered by Geba et al. in (Math Res Lett20(4):675–694, 2013). We deal with lacunary...

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Detalles Bibliográficos
Autores: Roncal, L., Shrivastava, S., Shuin, K.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1329
Acceso en línea:http://hdl.handle.net/20.500.11824/1329
Access Level:acceso abierto
Palabra clave:Bilinear spherical maximal functions
Bilinear weights
Sparse form
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spelling Bilinear Spherical Maximal Functions of Product TypeRoncal, L.Shrivastava, S.Shuin, K.Bilinear spherical maximal functionsBilinear weightsSparse formIn this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear spherical maximal function considered by Geba et al. in (Math Res Lett20(4):675–694, 2013). We deal with lacunary and full versions of this operator, and prove weighted estimates with respect to genuine bilinear weights beyond the Banach range. Our results are implied by sharp sparse domination for both the operators,following ideas by Lacey (J Anal Math 139(2):613–635, 2019). In the case of the lacunary maximal operator we also use interpolation of analytic families of operators to address the weighted boundedness for the whole range of tuplesRYC2018-025477-I Ikerbasque202120212021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1329reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://link.springer.com/content/pdf/10.1007/s00041-021-09877-4.pdfinfo:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113156GB-I00info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/13292026-06-19T12:47:47Z
dc.title.none.fl_str_mv Bilinear Spherical Maximal Functions of Product Type
title Bilinear Spherical Maximal Functions of Product Type
spellingShingle Bilinear Spherical Maximal Functions of Product Type
Roncal, L.
Bilinear spherical maximal functions
Bilinear weights
Sparse form
title_short Bilinear Spherical Maximal Functions of Product Type
title_full Bilinear Spherical Maximal Functions of Product Type
title_fullStr Bilinear Spherical Maximal Functions of Product Type
title_full_unstemmed Bilinear Spherical Maximal Functions of Product Type
title_sort Bilinear Spherical Maximal Functions of Product Type
dc.creator.none.fl_str_mv Roncal, L.
Shrivastava, S.
Shuin, K.
author Roncal, L.
author_facet Roncal, L.
Shrivastava, S.
Shuin, K.
author_role author
author2 Shrivastava, S.
Shuin, K.
author2_role author
author
dc.subject.none.fl_str_mv Bilinear spherical maximal functions
Bilinear weights
Sparse form
topic Bilinear spherical maximal functions
Bilinear weights
Sparse form
description In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear spherical maximal function considered by Geba et al. in (Math Res Lett20(4):675–694, 2013). We deal with lacunary and full versions of this operator, and prove weighted estimates with respect to genuine bilinear weights beyond the Banach range. Our results are implied by sharp sparse domination for both the operators,following ideas by Lacey (J Anal Math 139(2):613–635, 2019). In the case of the lacunary maximal operator we also use interpolation of analytic families of operators to address the weighted boundedness for the whole range of tuples
publishDate 2021
dc.date.none.fl_str_mv 2021
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1329
url http://hdl.handle.net/20.500.11824/1329
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://link.springer.com/content/pdf/10.1007/s00041-021-09877-4.pdf
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113156GB-I00
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
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