A function
ρ
\rho
from
[
0
,
1
]
[0,\,1]
onto itself is a Dirichlet weight if it is increasing,
ρ
⩽
0
\rho \leqslant 0
and
lim
x
→
0
+
x
/
ρ
(
x
)
=
0
{\lim _{x \to 0 + }}x/\rho (x) = 0
. The corresponding Dirichlet-type space,
D
ρ
{D_\rho }
, consists of those bounded holomorphic functions on
U
=
{
z
∈
C
:
|
z
|
>
1
}
U = \{ z \in {\mathbf {C}}:\,|z| > 1\}
such that
|
f
′
(
z
)
|
2
ρ
(
1
−
|
z
|
)
|f’(z){|^2}\rho (1 - |z|)
is integrable with respect to Lebesgue measure on
U
U
. We characterize in terms of a Carleson-type maximal operator the functions in the set of pointwise multipliers of
D
ρ
{D_\rho }
,
M
(
D
ρ
)
=
{
g
:
U
→
C
:
g
f
∈
D
ρ
,
∀
f
∈
D
ρ
}
M({D_\rho }) = \{ g:\,U \to {\mathbf {C}}:gf \in {D_\rho },\forall f \in {D_\rho }\}
.
