We elaborate on the ambient space approach to boundary values of $AdS_{d+1}$gauge fields and apply it to massless fields of mixed-symmetry type. In themost interesting case of odd-dimensional bulk the respective leading boundaryvalues are conformal gauge fields subject to the invariant equations. Ourapproach gives a manifestly conformal and gauge covariant formulation for thesefields. Although such formulation employs numerous auxiliary fields, it comeswith a systematic procedure for their elimination that results in a moreconcise formulation involving only a reasonable set of auxiliaries, whicheventually (at least in principle) can be reduced to the minimal formulation interms of the irreducible Lorentz tensors. The simplest mixed-symmetry field,namely, the rank-3 tensor associated to the two-row Young diagram, isconsidered in some details.
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