Upper limits (triangles) on the cold disk dust mass as a function of the mass of the companion for all substellar companions below ~20 M_Jup and with submillimeter and/or millimeter data published in the literature. The age of the systems is color-coded as illustrated by the color bar, except for our targets VHS J1256–1257 b (150–300 Myr) and G 196-3 B (50–100 Myr), which are shown with the black triangles. The left panel shows the upper limits on the dust mass in Earth mass units (M_Earth), while the panel on the right shows the masses of the disks relative to the masses of the substellar hosts. Horizontal solid gray lines in the left panel depict the masses of the Moon and of the Jovian moons. The two confirmed circumsubstellar protoplanetary disks around SR 12 c and PDS 70 c are shown with hexagons. The disk dust masses were computed using the approach described in Sect. 4. Several objects, some of which are mentioned in the text, are labeled.