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Let $X\left(\mathbb{R}^{n}\right)$ be a ball quasi-Banach function space on$\mathbb{R}^{n}$, $WX\left(\mathbb{R}^{n}\right)$ be the weak ball quasi-Banachfunction space on $\mathbb{R}^{n}$, $H_{X}\left(\mathbb{R}^{n}\right)$ be theHardy space associated with $X\left(\mathbb{R}^{n}\right)$ and$WH_{X}\left(\mathbb{R}^{n}\right)$ be the weak Hardy space associated with$X\left(\mathbb{R}^{n}\right)$. In this paper, we obtain the boundedness of theBochner--Riesz means and the maximal Bochner--Riesz means from$H_{X}\left(\mathbb{R}^{n}\right)$ to $WH_{X}\left(\mathbb{R}^{n}\right)$ or$WX\left(\mathbb{R}^{n}\right)$, which includes the critical case. Moreover, weapply these results to several examples of ball quasi-Banach function spaces,namely, weighted Lebesgue spaces, Herz spaces, Lorentz spaces, variableLebesgue spaces and Morrey spaces. This shows that all the results obtained inthis article are of wide applications, and more applications of these resultsare predictable.

Weak type estimates for Bochner--Riesz means on Hardy-type spaces associated with ball quasi-Banach function spaces