One-sided Cp estimates via M# function.

dc.centroFacultad de Cienciases_ES
dc.contributor.authorLorente-Domínguez, María
dc.contributor.authorMartín-Reyes, Francisco Javier
dc.contributor.authorRivera Ríos, Israel P.
dc.date.accessioned2023-04-24T12:56:01Z
dc.date.available2023-04-24T12:56:01Z
dc.date.created2023-04-24
dc.date.issued2022-07-04
dc.departamentoAnálisis Matemático, Estadística e Investigación Operativa y Matemática Aplicada
dc.description.abstractWe recall that w ∈ C+p if there exist " > 0 and C > 0 such that for any a < b < c with c − b < b − a and any measurable set E ⊂ (a, b), the following holds. This condition was introduced by Riveros and de la Torre as a one-sided counterpart of the Cp condition studied first by Muckenhoupt and Sawyer. In this paper we show that given 1<p<q<∞ if w∈C+q then ∥M+f∥Lp(w)≲∥M♯,+f∥Lp(w) and conversely if such an inequality holds, then w∈C+p.es_ES
dc.description.sponsorshipThe first and the second authors were partially supported by Ministerio de Economía y Competitividad, Spain, grant PGC2018-096166-B-100 and by Junta de Andalucía grant FQM-354. The third author was supported as well by Agencia I+D+i grants PICT 2018-02501 and PICT 2019-00018. All the authors were partially supported by Junta de Andalucía UMA18-FEDERJA-002. // Funding for open access charge: Universidad de Málaga.es_ES
dc.identifier.citationLorente, M., Martin-Reyes, F. J., & Rivera-Rios, I. P. (2022). One-sided Cp estimates via M-# function. Proceedings of the Royal Society of Edinburgh. Section A-Mathematics.es_ES
dc.identifier.doihttps://doi.org/10.48550/arXiv.2207.01355
dc.identifier.urihttps://hdl.handle.net/10630/26396
dc.language.isoenges_ES
dc.publisherCambridgees_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectSistemas linealeses_ES
dc.subject.otherCapacidad de procesoes_ES
dc.subject.otherFunciones linealeses_ES
dc.titleOne-sided Cp estimates via M# function.es_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoverycd546092-b606-4ff5-859e-41b41b073a26

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