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We study the Bergman projection, $\mathcal{B}$, and the Cauchy-Szeg\H{o}projection, $\mathcal{S}$, on bounded domains with near minimal smoothness. Weprove that $\mathcal{B}$ has the weak-type $(1,1)$ property with respect toweighted measures assuming that the underlying domain is strongly pseudoconvexwith $C^4$ boundary and the weight satisfies the $B_1$ condition, and the sameproperty for $\mathcal{S}$ on domains with $C^3$ boundaries and weightssatisfying the $A_1$ condition. We also obtain weighted Kolmogorov and weightedZygmund inequalities for $\mathcal{B}$ and $\mathcal{S}$ in their respectivesettings as corollaries.

Weighted endpoint bounds for the Bergman and Cauchy-Szeg\H{o} projections on domains with near minimal smoothness