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dc.contributor.author
Ombrosi, Sheldy Javier
dc.contributor.author
Rivera Ríos, Israel Pablo
dc.date.available
2021-11-10T15:55:22Z
dc.date.issued
2021-10-25
dc.identifier.citation
Ombrosi, Sheldy Javier; Rivera Ríos, Israel Pablo; Weighted Lp estimates on the infinite rooted k-ary tree; Springer; Mathematische Annalen; 25-10-2021
dc.identifier.issn
0025-5831
dc.identifier.uri
http://hdl.handle.net/11336/146586
dc.description.abstract
In this paper sufficient conditions for weighted weak and strong type (p, p) estimates with p>1 for the centered maximal function on the infinite rooted k-ary tree are provided. Here the line initated by the authors and Safe in Ombrosi et al. (Int Math Res Not IMRN 4:2736–2762, 2021) and providing a further extension of the use of techniques due to Naor and Tao in (J Funct Anal 259(3):731–779, 2010) is continued. The fact that the class of weights from the sufficient conditions is wider for Lp estimates than the one obtained in [16] is established as well. Some results highlighting the pathological nature of the weighted Lp theory in this setting are settled. It is shown that the Ap condition is no precise in this setting, since there exist weights such that the Lp boundedness holds but the Ap condition is not satisfied. It is also shown that the Sawyer type testing condition is not sufficient either for the strong type to hold and also that strong and weak type estimates are not equivalent in this setting. It will be shown as well that the one weight results can be extended to the two weight setting. This is a preview of subscription content, access via your institution.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
TREES
dc.subject
WEIGHTS
dc.subject
MAXIMAL
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Weighted Lp estimates on the infinite rooted k-ary tree
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-11-09T18:08:36Z
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Ombrosi, Sheldy Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Rivera Ríos, Israel Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.journal.title
Mathematische Annalen
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s00208-021-02298-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-021-02298-0
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