46 citations · 413 across the 115 of their papers we have counts for
4 papers · 1 filter
Restricted convolution inequalities, multilinear operators and applications
Dan-Andrei Geba, Allan Greenleaf, Alex Iosevich +2
For , we prove that for functions on , any -dimensional affine subspace , and with $\frac{1}{p}+\frac{1}{q…
Areas of triangles and Beck's theorem in planes over finite fields
Alex Iosevich, Misha Rudnev, Yujia Zhai
It is shown that any subset of a plane over a finite field $\F_q$, of cardinality determines not less than distinct areas of triangles, moreover once ca…
Multilinear generalized Radon transforms and point configurations
Loukas Grafakos, Allan Greenleaf, Alex Iosevich +1
We study multilinear generalized Radon transforms using a graph-theoretic paradigm that includes the widely studied linear case. These provide a general mechanism to study Falconer…
Three-point configurations determined by subsets of via the Elekes-Sharir paradigm
Michael Bennett, Alex Iosevich, Jonathan Pakianathan
We prove that if , , has size greater than , then determines a positive proportion of all congruence classes of triangle…