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dc.contributor.author
Bongioanni, Bruno
dc.contributor.author
Harboure, Eleonor Ofelia
dc.contributor.author
Quijano, Pablo
dc.date.available
2023-09-28T17:46:11Z
dc.date.issued
2021-03
dc.identifier.citation
Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo; Boundedness and compactness for commutators of singular integrals related to a critical radius function; Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Matemática Aplicada del Litoral; IMAL Preprints; 52; 3-2021; 1-28
dc.identifier.uri
http://hdl.handle.net/11336/213464
dc.description.abstract
We work in the general framework of a family of singular integrals with kernels controlled in terms of a critical radius function ρ. This family models the harmonic analysis derived from the Schr¨odinger operator L = −∆ + V , where the non-negative potential V satisfies an appropriate reverse H¨older condition. For their commutators, we find sufficient conditions on the symbols for boundedness and/or compactness when acting on weighted Lp spaces. In all cases, the classes of symbols and weights are larger than their classical counterparts, BMO, CMO and Ap. When these general results are applied to the Schr¨odinger context, we obtain boundedness and compactness for commutators of operators like ∇L−1/2 , ∇2L−1 , V 1/2L−1/2 , V 1/2∇L−1 , V L−1 and Liα. As in Uchiyama’s classical paper, we give a full description of the class for compactness, CMO∞ρ , assuming ρ to be bounded. Finally, we provide examples showing that CMO is strictly contained in CMO∞ρ for any ρ, bounded or not.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Matemática Aplicada del Litoral
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Boundedness
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Boundedness and compactness for commutators of singular integrals related to a critical radius function
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-09-13T11:55:29Z
dc.identifier.eissn
2451-7100
dc.journal.number
52
dc.journal.pagination
1-28
dc.journal.pais
Argentina
dc.journal.ciudad
Santa Fe
dc.description.fil
Fil: Bongioanni, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Harboure, Eleonor Ofelia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Quijano, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.journal.title
IMAL Preprints
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://imal.conicet.gov.ar/wp-content/uploads/sites/151/2021/07/2021-0052.pdf
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