Doowon Koh

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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.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

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

Mapping properties of the $S$ -operator

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