The discrete spherical averages over a family of sparse sequences

Kevin Hughes

Type: Article

Publication Date: 2019-07-01

Citations: 9

DOI: https://doi.org/10.1007/s11854-019-0020-z

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Locations

arXiv (Cornell University) - View - PDF
Journal d Analyse Mathématique - View

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Works That Cite This (9)

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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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+ PDF Chat	Analysis and applications: The mathematical work of Elias Stein	2020	Charles Fefferman Alex Ionescu Terence Tao Stephen Wainger
+	New bounds for discrete lacunary spherical averages	2020	Theresa C. Anderson José Madrid
+ PDF Chat	Dimension-Free Estimates for the Discrete Spherical Maximal Functions	2023	Mariusz Mirek Tomasz Szarek Błażej Wróbel
+	Bounds for Lacunary maximal functions given by Birch--Magyar averages	2019	Brian Cook Kevin Hughes
+ PDF Chat	Sparse bounds for the discrete spherical maximal functions	2019	Robert Kesler Michael T. Lacey D. Arias
+	Bounds for Lacunary maximal functions given by Birch–Magyar averages	2020	Brian Cook Kevin Hughes
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℓ</mml:mi> <mml:mi>p</mml:mi> </mml:msup></mml:math>-improving for discrete spherical averages	2020	Kevin Hughes

Works Cited by This (20)

Action	Title	Year	Authors
+	Analytic Methods for Diophantine Equations and Diophantine Inequalities	2005	H. Davenport T. D. Browning
+	Problems and Results related to Waring's problem: Maximal functions and ergodic averages	2013	Kevin Hughes
+ PDF Chat	An endpoint estimate for the discrete spherical maximal function	2003	Alexandru D. Ionescu
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald
+ PDF Chat	Book Review: Littlewood-Paley and multiplier theory	1978	Ronald R. Coifman Guido Weiss
+ PDF Chat	A new form of the circle method, and its application to quadratic forms.	1996	D. R. Heath‐Brown
+ PDF Chat	Lacunary spherical means	1979	Calixto P. Calderón
+	Pointwise convergence of lacunary spherical means	2002	Andreas Seeger Terence Tao James Wright
+ PDF Chat	ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS	2003	Andreas Seeger Terence Tao James Wright
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain