Bounds for Lacunary maximal functions given by Birch–Magyar averages

Brian Cook, Kevin Hughes

Type: Article

Publication Date: 2020-03-25

Citations: 3

DOI: https://doi.org/10.1090/tran/8152

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Locations

arXiv (Cornell University) - View - PDF
Transactions of the American Mathematical Society - View

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+ PDF Chat	Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres	2023	Alex Iosevich Bartosz Langowski Mariusz Mirek Tomasz Szarek
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Works Cited by This (30)

Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+ PDF Chat	An endpoint estimate for the discrete spherical maximal function	2003	Alexandru D. Ionescu
+ PDF Chat	Book Review: Littlewood-Paley and multiplier theory	1978	Ronald R. Coifman Guido Weiss
+ PDF Chat	Lacunary spherical means	1979	Calixto P. Calderón
+	Pointwise convergence of lacunary spherical means	2002	Andreas Seeger Terence Tao James Wright
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain
+	On the distribution of lattice points on spheres and level surfaces of polynomials	2006	Ákos Magyar
+	Maximal functions: Spherical means	1976	Elias M. Stein
+ PDF Chat	Weak type (1,1) estimates for a class of discrete rough maximal functions	2007	Roman Urban Jacek Zienkiewicz
+ PDF Chat	Discrete Analogues in Harmonic Analysis: Spherical Averages	2002	Ákos Magyar E. M. Stein Stephen Wainger