We present near-infrared (NIR) $H+K$-band longslit spectra of eleven galaxies which are obtained with SOFI at the NTT (ESO). The galaxies are chosen from the low-luminosity type-1 quasi-stellar object (LLQSO) sample which comprises the 99 closest ($zleq 0.06$) QSOs from the Hamburg/ESO survey for bright UV-excess QSOs. These objects are ideal targets to study the gap between local Seyfert galaxies and high-redshift quasars, since they show much stronger AGN activity compared to local objects but are still close enough for a detailed structural analysis. We fit hydrogen recombination, molecular hydrogen, and [FeII] lines after carefully subtracting the continuum emission. From the broad Pa$alpha$ components, we estimate black hole masses and enlarge the sample of LLQSOs that show a deviation from the $M_mathrm{BH}-L_mathrm{bulge}$ relations of inactive galaxies from 12 to 16 objects. All objects show emission from hot dust ($Tsim 1200,mathrm{K}$) as well as stellar contribution. However, the particular fractions vary a lot between the objects. More than half of the objects show H$_2$ emission lines that are indicating a large reservoir of molecular gas which is needed to feed the AGN and star formation. In the NIR diagnostic diagram all objects lie in the location of AGN dominated objects. However, most of the objects show indications of star formation activity, suggesting that their offset location with respect to $M_mathrm{BH}-L_mathrm{bulge}$ relations of inactive galaxies may be a consequence of overluminous bulges.
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