On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators

Alex Iosevich, Mihalis Mourgoglou, Eyvindur A. Palsson

Type: Preprint

Publication Date: 2011-10-31

Citations: 11

Locations

arXiv (Cornell University) - View

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Works That Cite This (10)

Action	Title	Year	Authors
+	How large dimension guarantees a given angle?	2012	Viktor Harangi Tamàs Keleti Gergely Kiss Péter Maga András Máthé Pertti Mattila Balázs Strenner
+ PDF Chat	On Radii of Spheres Determined by Subsets of Euclidean Space	2014	Bochen Liu
+	Sets of large dimension not containing polynomial configurations	2017	András Máthé
+ PDF Chat	A Mattila-Sjölin theorem for triangles	2022	Eyvindur A. Palsson Francisco Romero Acosta
+	A Mattila-Sjölin theorem for triangles	2021	Eyvindur A. Palsson Francisco Romero Acosta
+	Zeta Functions of Discrete Self-similar Sets and Applications to Point Configuration and Sum–Product-Type Problems	2018	Driss Essouabri Ben Lichtin
+	Sets of large dimension not containing polynomial configurations	2012	András Máthé
+	The Group Action Method and Radial Projection	2021	Guo-Dong Hong Chun‐Yen Shen
+ PDF Chat	Dimensional lower bounds for Falconer type incidence theorems	2019	Jonathan DeWitt Kevin Ford Eli Goldstein Steven J. Miller Gwyneth Moreland Eyvindur A. Palsson Steven Senger
+	An improved dimensional threshold for the angle problem	2018	Alex Iosevich Eyvindur A. Palsson

Works Cited by This (5)

Action	Title	Year	Authors
+	On the distribution of lattice points on spheres and level surfaces of polynomials	2006	Ákos Magyar
+	How large dimension guarantees a given angle?	2012	Viktor Harangi Tamàs Keleti Gergely Kiss Péter Maga András Máthé Pertti Mattila Balázs Strenner
+	A convexity theorem for certain groups of transformations	1952	I. I. Hirschman
+	Functions of One Complex Variable	1973	John B. Conway
+	Theory of dimension for large discrete sets and applications	2007	Alex Iosevich Misha Rudnev Ignacio Uriarte-Tuero