Power weighted L p -inequalities for Laguerre-Riesz transforms

dc.creatorHarboure, Eleonor Ofelia
dc.creatorSegovia Fernandez, Carlos
dc.creatorTorrea Hernández, José Luis
dc.creatorViviani, Beatriz Eleonora
dc.date.accessioned2019-09-24T16:41:51Z
dc.date.accessioned2022-10-15T03:21:21Z
dc.date.available2019-09-24T16:41:51Z
dc.date.available2022-10-15T03:21:21Z
dc.date.created2019-09-24T16:41:51Z
dc.date.issued2008-10
dc.identifierHarboure, Eleonor Ofelia; Segovia Fernandez, Carlos; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Power weighted L p -inequalities for Laguerre-Riesz transforms; Springer; Arkiv For Matematik; 46; 2; 10-2008; 285-313
dc.identifier0004-2080
dc.identifierhttp://hdl.handle.net/11336/84275
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4339517
dc.description.abstractIn this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given α>-1. We achieve these results by a careful estimate of the kernels: near the diagonal we show that they are local Calderón-Zygmund operators while in the complement they are majorized by Hardy type operators and the maximal heat-diffusion operator. We also show that in all the cases our results are sharp.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11512-007-0052-y
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectPower Weighted
dc.subjectLaguerre Functions Systems
dc.subjectRiesz Transforms
dc.titlePower weighted L p -inequalities for Laguerre-Riesz transforms
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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