On Instability of the Nikodym Maximal Function Bounds over Riemannian Manifolds

Christopher D. Sogge, Yakun Xi, Hang Xu

Type: Article

Publication Date: 2017-10-06

Citations: 4

DOI: https://doi.org/10.1007/s12220-017-9939-4

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arXiv (Cornell University) - View - PDF
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Journal of Geometric Analysis - View

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Works Cited by This (13)

Action	Title	Year	Authors
+	Fourier Integrals in Classical Analysis	2017	Christopher D. Sogge
+ PDF Chat	$L^{p}$ estimates for the $X$-ray transform	1983	S.W. Drury
+ PDF Chat	Concerning Nikodym-type sets in 3-dimensional curved spaces	1999	Christopher D. Sogge
+ PDF Chat	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff
+ PDF Chat	New bounds for Kakeya problems	2002	N. Katz Terence Tao
+	The Bochner-Riesz conjecture implies the restriction conjecture	1999	Terence Tao
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain
+	The Kakeya Maximal Function and the Spherical Summation Multipliers	1977	Antonio Cordóba
+ PDF Chat	Negative results for Nikodym maximal functions and related oscillatory integrals in curved space	1997	William P. Minicozzi Christopher D. Sogge
+	On the Dimension of Kakeya Sets and Related Maximal Inequalities	1999	Jean Bourgain