  We suggest an elementary Harmonic Analysis approach to canceling and weakly
canceling differential operators, which allows to extend these notions to
anisotropic setting and also replace differential operators with Fourier
multiplies with mild smoothness regularity. In this more general setting of
anisotropic Fourier multipliers, we prove the inequality $\|f\|_{L_{\infty}}
\lesssim \|Af\|_{L_1}$ if $A$ is a weakly canceling operator of order $d$ and
the inequality $\|f\|_{L_2} \lesssim \|Af\|_{L_1}$ if $A$ is a canceling
operator of order $\frac{d}{2}$, provided $f$ is a function in $d$ variables.
