Hunseok Kang

collaborators

5 papers

math.CA2026

Mapping properties of the $S$ -operator

Hunseok Kang, Doowon Koh, Changhun Yang

In this paper, we study the $ℓ^{p} \to ℓ^{r}$ estimates for the $S$ -operator arising in restriction problems for spheres over finite fields. We establish a necessary and sufficien…

math.CO2026

The Mattila-SjÃ¶lin problem for the k-distance over a finite field

Daewoong Cheong, Hunseok Kang, Jinbeom Kim

Let $F_{q}^{d}$ be a $d$ -dimensional vector space over a finite field $F_{q}$ with $q$ elements. For $x \in F_{q}^{d}$ , let $∥ x ∥ = x_{1}^{2} + \dots + x_{d}^{2}$ . By abuse of…

math.CO2025

Raimi's theorem for the $n$ -dimensional torus

Hunseok Kang, Doowon Koh, Dung The Tran

We extend Raimi's classical partition theorem to the continuous setting of the circle and $n$ -dimensional torus. Building on recent work of HegyvÃ¡ri, Pach, and Pham in finite grou…

math.CO2025

The ErdÅs-Falconer distance problem between arbitrary sets and $k$ -coordinatable sets in finite fields

Hunseok Kang, Doowon Koh, Firdavs Rakhmonov

In this paper, we study the cardinality of the distance set $I^ (A, B)$ determined by two subsets $A$ and $B$ of the $d$ -dimensional vector space over a finite field $F_{q}$ .…

math.CA2025

Connections between $S$ -operators and restriction estimates for spheres over finite fields

Hunseok Kang, Doowon Koh

In this paper, we introduce a new operator, $S$ , which is closely related to the restriction problem for spheres in $F_{q}^{d}$ , the $d$ -dimensional vector space ove…

Mapping properties of the S-operator

The Mattila-SjÃ¶lin problem for the k-distance over a finite field

Raimi's theorem for the n-dimensional torus

The ErdÅs-Falconer distance problem between arbitrary sets and k-coordinatable sets in finite fields

Connections between S-operators and restriction estimates for spheres over finite fields

Mapping properties of the $S$ -operator

Raimi's theorem for the $n$ -dimensional torus

The ErdÅs-Falconer distance problem between arbitrary sets and $k$ -coordinatable sets in finite fields

Connections between $S$ -operators and restriction estimates for spheres over finite fields