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dc.contributor.authorCiaurri Ó.en_US
dc.contributor.authorNowak A.en_US
dc.contributor.authorRoncal L.en_US
dc.date.accessioned2020-02-06T08:43:53Z
dc.date.available2020-02-06T08:43:53Z
dc.date.issued2020
dc.identifier.issn1618-1891
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1073
dc.description.abstractWe study a generalized spherical means operator, viz.\ generalized spherical mean Radon transform, acting on radial functions. As the main results, we find conditions for the associated maximal operator and its local variant to be bounded on power weighted Lebesgue spaces. This translates, in particular, into almost everywhere convergence to radial initial data results for solutions to certain Cauchy problems for classical Euler-Poisson-Darboux and wave equations. Moreover, our results shed some new light on the interesting and important question of optimality of the yet known $L^p$ boundedness results for the maximal operator in the general non-radial case. It appears that these could still be notably improved, as indicated by our conjecture of the ultimate sharp result.en_US
dc.description.sponsorship2017 Leonardo grant for Researchers and Cultural Creators, BBVA Foundationen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherAnnali de Matematica Pura et Applicataen_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/1PE/MTM2017-82160-C2-1-Pen_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectSpherical Radon transformen_US
dc.subjectspherical meanen_US
dc.subjectmaximal operatoren_US
dc.subjectradial functionen_US
dc.subjectweighted estimateen_US
dc.subjectwave equationen_US
dc.subjectEuler-Poisson-Darboux equationen_US
dc.subjectaxially symmetric solutionen_US
dc.subjectconvergence to initial dataen_US
dc.titleMaximal estimates for a generalized spherical mean Radon transform acting on radial functionsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007%2Fs10231-019-00933-x.pdfen_US


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