Context : Aims : We constrain the dust distribution and its properties ( temperature , emissivity ) in inner proto-planetary disks Methods : We performed sub-arcsecond high-sensitivity interferometric observations of the thermal dust emission at 1.4 mm and 2.8 mm in the disks surrounding LkCa 15 and MWC 480 , with the new 750 m baselines of the IRAM PdBI array . This provides a linear resolution of \sim 60 AU at the distance of Taurus . Results : We report the existence of a cavity of \sim 50 AU radius in the inner disk of LkCa 15 . Whereas LkCa 15 emission is optically thin , the optically thick core of MWC 480 is resolved at 1.4 mm with a radius of \sim 35 AU , constraining the dust temperature . In MWC 480 , the dust emission is coming from a colder layer than the CO emission , most likely the disk mid-plane . Conclusions : These observations provide direct evidence of an inner cavity around LkCa 15 . Such a cavity most probably results from the tidal disturbance created by a low-mass companion or large planet at \sim 30 AU from the star . These results suggest that planetary system formation is already at work in LkCa 15 . They also indicate that the classical steady-state viscous disk model is too simplistic a description of the inner 50 AU of “ proto-planetary ” disks and that the disk evolution is coupled to the planet formation process . The MWC 480 results indicate that a proper estimate of the dust temperature and size of the optically thick core are essential for determining the dust emissivity index \beta .