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It was shown by T. Murai that the norm of the operator defined by the Cauchy kernel on the graph of a Lipschitz function      A A       is less than      C ( 1 + ‖ A ′ ‖ ∞  ) 1 / 2 C{(1 + {\left \| {A’} \right \|_\infty })^{1/2}}      . We use Garnett’s example to show that this estimate is optimal.

Une minoration de la norme de l’opérateur de Cauchy sur les graphes lipschitziens