Variation bounds for spherical averages

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arxiv 2009.07366 v2 pith:GYBPBDKU submitted 2020-09-15 math.CA

David Beltran , Richard Oberlin , Luz Roncal , Andreas Seeger , Betsy Stovall This is my paper

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keywords sphericalvariationaveragesboundsconsideremphasisestimatesfamily

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We consider $r$-variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates.