Artículo
Maximal operators for cube skeletons
Fecha de publicación:
01/2020
Editorial:
Suomalainen Tiedeakatemia
Revista:
Annales Academiae Scientiarum Fennicae. Mathematica
ISSN:
1239-629X
e-ISSN:
1798-2383
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study discretized maximal operators associated to averaging over (neighborhoods of) squares in the plane and, more generally, k-skeletons in R n. Although these operators are known not to be bounded on any L p , we obtain nearly sharp L p bounds for every small discretization scale. These results are motivated by, and partially extend, recent results of T. Keleti, D. Nagy and P. Shmerkin, and of R. Thornton, on sets that contain a scaled k-sekeleton of the unit cube with center in every point of R n .
Palabras clave:
AVERAGES OVER SKELETONS
,
MAXIMAL FUNCTIONS
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Identificadores
Colecciones
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Olivo, Andrea del Valle; Shmerkin, Pablo Sebastian; Maximal operators for cube skeletons; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 45; 1; 1-2020; 467-478
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