Sparse bounds for the discrete spherical maximal functions

dc.creator	Kesler, Robert
dc.creator	Lacey, Michael T.
dc.creator	Mena Arias, Darío Alberto
dc.date.accessioned	2021-11-12T17:06:54Z
dc.date.available	2021-11-12T17:06:54Z
dc.date.issued	2020
dc.identifier.citation	https://msp.org/paa/2020/2-1/p04.xhtml
dc.identifier.issn	2578-5885
dc.identifier.uri	https://hdl.handle.net/10669/85154
dc.description.abstract	We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and Ionescu, is very efficient, and has not been used in the proof of sparse bounds before. The Hardy-Littlewood Circle method is used to decompose the multiplier into major and minor arc components. The efficiency arises as one only needs a single estimate on each element of the decomposition.	es_ES
dc.language.iso	eng	es_ES
dc.source	Pure and Applied Analysis, vol.2(1), pp.75-92	es_ES
dc.subject	Sparse	es_ES
dc.subject	Discrete	es_ES
dc.subject	Spherical average	es_ES
dc.title	Sparse bounds for the discrete spherical maximal functions	es_ES
dc.type	artículo original
dc.identifier.doi	10.2140/paa.2020.2.75
dc.description.procedence	UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA)	es_ES

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