A Bp condition for the strong maximal function
A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two weight inequalities of the strong maximal function in terms of power and logarit...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/49376 |
| Acceso en línea: | http://hdl.handle.net/11441/49376 https://doi.org/10.1090/S0002-9947-2014-05956-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Strong maximal operators Bp condition Bump condition |
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A Bp condition for the strong maximal functionLiu, LiguangLuque Martínez, TeresaStrong maximal operatorsBp conditionBump conditionA strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two weight inequalities of the strong maximal function in terms of power and logarithmic bumps. Results for the multilinear version of this operator and for others multi(sub)linear maximal functions associated with bases of open sets are also studied.National Natural Science Foundation of ChinaMinisterio de Ciencia e InnovaciónAmerican Mathematical SocietyAnálisis MatemáticoNational Natural Science Foundation of ChinaMinisterio de Ciencia e Innovación (MICIN). España2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/49376https://doi.org/10.1090/S0002-9947-2014-05956-4reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésTransactions of the American Mathematical Society, 366 (11), 5707-5726.11101425BES-2010-030264http://www.ams.org/journals/tran/2014-366-11/S0002-9947-2014-05956-4/S0002-9947-2014-05956-4.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/493762026-06-17T12:51:07Z |
| dc.title.none.fl_str_mv |
A Bp condition for the strong maximal function |
| title |
A Bp condition for the strong maximal function |
| spellingShingle |
A Bp condition for the strong maximal function Liu, Liguang Strong maximal operators Bp condition Bump condition |
| title_short |
A Bp condition for the strong maximal function |
| title_full |
A Bp condition for the strong maximal function |
| title_fullStr |
A Bp condition for the strong maximal function |
| title_full_unstemmed |
A Bp condition for the strong maximal function |
| title_sort |
A Bp condition for the strong maximal function |
| dc.creator.none.fl_str_mv |
Liu, Liguang Luque Martínez, Teresa |
| author |
Liu, Liguang |
| author_facet |
Liu, Liguang Luque Martínez, Teresa |
| author_role |
author |
| author2 |
Luque Martínez, Teresa |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Análisis Matemático National Natural Science Foundation of China Ministerio de Ciencia e Innovación (MICIN). España |
| dc.subject.none.fl_str_mv |
Strong maximal operators Bp condition Bump condition |
| topic |
Strong maximal operators Bp condition Bump condition |
| description |
A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two weight inequalities of the strong maximal function in terms of power and logarithmic bumps. Results for the multilinear version of this operator and for others multi(sub)linear maximal functions associated with bases of open sets are also studied. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion |
| format |
article |
| status_str |
submittedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11441/49376 https://doi.org/10.1090/S0002-9947-2014-05956-4 |
| url |
http://hdl.handle.net/11441/49376 https://doi.org/10.1090/S0002-9947-2014-05956-4 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Transactions of the American Mathematical Society, 366 (11), 5707-5726. 11101425 BES-2010-030264 http://www.ams.org/journals/tran/2014-366-11/S0002-9947-2014-05956-4/S0002-9947-2014-05956-4.pdf |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
American Mathematical Society |
| publisher.none.fl_str_mv |
American Mathematical Society |
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reponame:idUS. Depósito de Investigación de la Universidad de Sevilla instname:Universidad de Sevilla (US) |
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Universidad de Sevilla (US) |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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15,300719 |