  A new general Hormander type condition involving anisotropies and mixed norms
is introduced, and boundedness results for Fourier multi- pliers on anisotropic
Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms
are obtained. As an application, the continuity of such operators is
established on mixed Sobolev and Lebesgue spaces too. Some lifting properties
and equivalent norms are obtained as well.
