Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels

In this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis.We then use the one based on the Calderón-Zygmund decomposition to prove a dual sparse domination estimate for Calderón-Zymgund operatorswith Dini-smooth kernels, wi...

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Detalles Bibliográficos
Autores: Ballesta-Yagüe, Fernando, Conde Alonso, José M.
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad Loyola Andalucía
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:dnet:biblosearchi::30f870d35750bfd6035eb202d0728297
Acceso en línea:https://hdl.handle.net/10486/764960
https://dx.doi.org/10.1007/s12220-025-02187-x
Access Level:acceso abierto
Palabra clave:Sparse domination
Calderón-Zygmund theory
Calderón-Zygmund decomposition
nondoubling measures
Matemáticas
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spelling Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth KernelsBallesta-Yagüe, FernandoConde Alonso, José M.Sparse dominationCalderón-Zygmund theoryCalderón-Zygmund decompositionnondoubling measuresMatemáticasIn this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis.We then use the one based on the Calderón-Zygmund decomposition to prove a dual sparse domination estimate for Calderón-Zymgund operatorswith Dini-smooth kernels, with an eye on the difficulties that arise when trying to transfer the argument to spaces with nondoubling measuresOpen Access funding provided thanks to the CRUE-CSIC agreement with SpringerNature. Agencia Estatal de Investigación CNS2022-135431 Jose Manuel Conde-AlonsoSpringerDepartamento de MatemáticasFacultad de CienciasAgencia Estatal de Investigación20252025-09-10research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10486/764960https://dx.doi.org/10.1007/s12220-025-02187-xreponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Loyola AndalucíaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:dnet:biblosearchi::30f870d35750bfd6035eb202d07282972026-06-23T12:46:27Z
dc.title.none.fl_str_mv Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
title Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
spellingShingle Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
Ballesta-Yagüe, Fernando
Sparse domination
Calderón-Zygmund theory
Calderón-Zygmund decomposition
nondoubling measures
Matemáticas
title_short Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
title_full Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
title_fullStr Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
title_full_unstemmed Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
title_sort Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
dc.creator.none.fl_str_mv Ballesta-Yagüe, Fernando
Conde Alonso, José M.
author Ballesta-Yagüe, Fernando
author_facet Ballesta-Yagüe, Fernando
Conde Alonso, José M.
author_role author
author2 Conde Alonso, José M.
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
Agencia Estatal de Investigación
dc.subject.none.fl_str_mv Sparse domination
Calderón-Zygmund theory
Calderón-Zygmund decomposition
nondoubling measures
Matemáticas
topic Sparse domination
Calderón-Zygmund theory
Calderón-Zygmund decomposition
nondoubling measures
Matemáticas
description In this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis.We then use the one based on the Calderón-Zygmund decomposition to prove a dual sparse domination estimate for Calderón-Zymgund operatorswith Dini-smooth kernels, with an eye on the difficulties that arise when trying to transfer the argument to spaces with nondoubling measures
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-09-10
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10486/764960
https://dx.doi.org/10.1007/s12220-025-02187-x
url https://hdl.handle.net/10486/764960
https://dx.doi.org/10.1007/s12220-025-02187-x
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Loyola Andalucía
instname_str Universidad Loyola Andalucía
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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