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A family $({\mathbf D}_\lambda)_{\lambda\in \mathbb C}$ of differentialoperators on the sphere $S^n$ is constructed. The operators are conformallycovariant for the action of the subgroup of conformal transformations of $S^n$which preserve the smaller sphere $S^{n-1}\subset S^n$. The family ofconformally covariant differential operators from $S^n$ to $S^{n-1}$ introducedby A. Juhl is obtained by composing these operators on $S^n$ and takingrestrictions to $S^{n-1}$.

Another Approach to Juhl's Conformally Covariant Differential Operators from $S^n$ to $S^{n-1}$