Saisai Shi

collaborators

2 papers

math.FA2026

On strong algebrability and spaceability of continuous functions and fractal dimensions

Jia Liu, Saisai Shi

In this paper, we investigate the strong algebrability and $(α, β)$ -lineability/spaceability of continuous functions with prescribed fractal dimensions. For $1 < s < r < t \leq 2$ , we de…

math.FA2026

On strong spaceability of continuous functions and fractal dimensions

Jia Liu, Saisai Shi, Zhenliang Zhang

Given $s \in (1, 2]$ , define $H_{s} [0, 1] = {f \in C [0, 1] : dim_{H} G_{f} ([0, 1]) = s}$ and $B_{s} [0, 1] = {f \in C [0, 1] : dim_{B} G_{f} ([0, 1]) = s} .$ The main goal of this paper i…