  Let $\nu$ be a charge distribution on the complex plane $\mathbb C$, i.e. the
real Radon measure on $\mathbb C$ with total variation $|\nu|$. The charge
distribution $\nu$ is of finite upper density under order of $1$ if $$
\limsup_{0<r\to+\infty} \frac{1}{t}|\nu|\Bigl(\bigl\{z\in \mathbb C \bigm|
|z|\leq r\bigr\}\Bigr)<+\infty. $$ The charge distribution $\nu$ satisfies the
Lindel\"of condition of genus $1$ if $$ \limsup_{1\leq r\to
+\infty}\biggl|\int_{1\leq |z|\leq r}
\frac{1}{z}\operatorname{d}\!\nu(z)\biggr|<+\infty. $$ These concepts play a
key role in the study of entire functions of exponential type and subharmonic
functions of finite type under order of $1$, as well as in their applications.
In our previous works, a technique was developed for balayage of finite genus
$q=0,1,\dots$ of the charge distribution $\nu$ from the half-plane. We show
that balayage of genus $q=1$ of the charge distribution $\nu$ from the
half-plane preserves this pair of properties under some condition on $\nu$.
