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We prove the validity of regularizing properties of the boundary integraloperator corresponding to the double layer potential associated to thefundamental solution of a {\em nonhomogeneous} second order ellipticdifferential operator with constant coefficients in H\"{o}lder spaces byexploiting an estimate on the maximal function of the tangential gradient withrespect to the first variable of the kernel of the double layer potential andby exploiting specific imbedding and multiplication properties in certainclasses of integral operators and a generalization of a result for integraloperators on differentiable manifolds.

Classes of kernels and continuity properties of the double layer potential in H\"{o}lder spaces