  Khoshnevisan and Xiao showed in [Ann. Probab. 33 (2005) 841--878] that the
statement about almost surely vanishing Bessel--Riesz capacity of the image of
a Borel set $G\subset\mathbb{R}_+$ under a symmetric L\'{e}vy process $X$ in
$\mathbb{R}^d$ is equivalent to the vanishing of a deterministic $f$-capacity
for a particular function $f$ defined in terms of the characteristic exponent
of $X$. The authors conjectured that a similar statement is true for all
L\'{e}vy processes in $\mathbb{R}^d$. We show that the conjecture is true
provided we extend the definition of $f$ and require certain integrability
conditions which cannot be avoided in general.
