On Restriction Estimates for the Zero Radius Sphere over Finite Fields Page 1 Canad. J. Math.
Vol. ( ), pp. – http://dx.doi.org/ . /SX © Canadian Mathematical Society On Restriction Estimates …

In this paper we study the generalized Erdős–Falconer distance problems in the finite field
setting. The generalized distances are defined in terms of polynomials, and various formulas …

The first purpose of this paper is to solve completely the finite field cone restriction
conjecture in four dimensions with non-square. The second is to introduce a new approach …

Multi-linear forms, graphs, and Lp-improving measures in Fd Page 1 Canad. J. Math. 2024,
pp. 1–44 http://dx.doi.org/10.4153/S0008414X2300086X © The Author(s), 2023. Published by …

The purpose of this paper is to introduce and study the following graph theoretic paradigm.
Let $$ T_Kf (x)=\int K (x, y) f (y) d\mu (y), $$ where $ f: X\to {\Bbb R} $, $ X $ a set, finite or …

We study L^p→L^r estimates for restricted averaging operators related to algebraic varieties
V of d-dimensional vector spaces over finite fields F_q with q elements. We observe …

We study mapping properties of the averaging operator related to the variety V={x∈ 𝔽 qd: Q
(x)= 0}, where Q (x) is a nondegenerate quadratic polynomial over a finite field 𝔽 q with q …

In this paper we study the mapping properties of the averaging operator over a variety given
by a system of homogeneous equations over a finite field. We obtain optimal results on the …

We study L p− L r restriction estimates for algebraic varieties in d-dimensional vector spaces
over finite fields. Unlike the Euclidean case, if the dimension d is even, then it is conjectured …

Let Fd q be a d-dimensional vector space over a finite field Fq with q elements. We endow
the space Fd q with a normalized counting measure dx. Let σ be a normalized surface …