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dc.contributor.author
Bongioanni, Bruno
dc.contributor.author
Harboure, Eleonor Ofelia
dc.contributor.author
Quijano, Pablo
dc.date.available
2023-12-01T15:53:59Z
dc.date.issued
2023-01
dc.identifier.citation
Bongioanni, Bruno; Harboure, Eleonor Ofelia; Quijano, Pablo; Behaviour of Schrödinger Riesz transforms over smoothness spaces; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 517; 2; 1-2023; 1-31
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/219021
dc.description.abstract
As it was shown by Shen, the Riesz transforms associated to the Schrödinger operator L = −Δ + V are not bounded on Lp(Rd)-spaces for all p, 1 < p < ∞, under the only assumption that the potential satisfies a reverse Hölder condition of order d/2, d ≥ 3. Furthermore, they are bounded only for p in some finite interval of the type (1, p0), so it can not be expected to preserve regularity spaces. In this work we search for some kind of minimal additional conditions on the potential in order to obtain boundedness on appropriate weighted BMO type regularity spaces for all first and second order Riesz transforms, namely for the operators ∇L−1/2, V 1/2L−1/2, ∇2L−1, V L−1 and V 1/2∇L−1. We also explore to what extent such extra conditions are also necessary.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
REGULARITY SPACES
dc.subject
RIESZ TRANSFORMS
dc.subject
SCHRÖDINGER OPERATOR
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Behaviour of Schrödinger Riesz transforms over smoothness spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-11-29T13:27:58Z
dc.journal.volume
517
dc.journal.number
2
dc.journal.pagination
1-31
dc.journal.pais
Estados Unidos
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
Journal of Mathematical Analysis and Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X22006278
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2022.126613
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