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In this paper, we investigate the weak‐type regularity of the Bergman projection. The two domains we focus on are the polydisc and the Hartogs triangle. For the polydisc, we provide a proof that the weak‐type behavior is of ‘   L  log  L   ’ type. This result is likely known to the experts, but does not appear to be in the literature. For the Hartogs triangle, we show that the operator is of weak‐type (4,4); settling the question of the behavior of the projection at this endpoint. At the other endpoint of interest, we show that the Bergman projection is  not  of weak‐type    (   4  3   ,   4  3   )    and provide evidence as to what the correct behavior at this endpoint might be.

Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle