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If M ⊂ C N is a generic Cauchy-Riemann manifold and W ⊂ C N is a wedge domain with edge M, then every bounded holomorphic function on W has an admissible limit at almost every point of M. Moreover, if a holomorphic function f on W has a distribution boundary value (bv f) on M that is a bounded measurable function, then f is bounded on every finer wedge near M, and its admissible limit equals (bv f)(p) at almost every point p ∈ M

Admissible boundary values of bounded holomorphic functions in wedges