Add to ORKGIn this paper, we prove an extension theorem for spheres of square radii in $\mathbb{F}_q^d$, which improves a result obtained by Iosevich and Koh (2010). Our main tool is a new point-hyperplane incidence bound which will be derived via a cone restriction theorem. We also will study applications on distance problems.Comment: 19 page
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In this paper we study the restriction estimate for the flat disk over finite fields. Mockenhaupt an...
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
In this paper, we establish second main theorems for holomorphic maps with finite growth index on co...
The first purpose of this paper is to provide new finite field extension theorems for paraboloids an...
AbstractWe study Lp−Lr restriction estimates for algebraic varieties in d-dimensional vector spaces ...
In this paper, we study meromorphic functions on a domain $\Omega \subset \mathbb{C}$ whose image ha...
We establish the maximal inequality claimed in the title. In combinatorial terms this has the implic...
In this paper, we prove a new point-sphere incidence bound in vector spaces over finite fields. More...
Two spheres with centers $p$ and $q$ and signed radii $r$ and $s$ are said to be in contact if $|p-q...
We initiate the theory of -improving inequalities for arithmetic averages over hypersurfaces and the...
The first purpose of this paper is to solve completely the finite field cone restriction conjecture ...
We study the shortest geodesics on flat cone spheres, i.e. flat metrics on the sphere with conical s...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
We survey several old and new problems related to the number of simplicial spheres, the number of ne...
We prove a maximal Fourier restriction theorem for hypersurfaces in (mathbb{R}^{d}) for any dimensio...
In this paper we study the restriction estimate for the flat disk over finite fields. Mockenhaupt an...
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
In this paper, we establish second main theorems for holomorphic maps with finite growth index on co...