Like most aircraft carriers, hangar and other space inside the Liaoning is at a premium. It's very interesting to watch the (Russian) turntable rotating the J-15s once they've been struck down to the hangar deck via the elevators. Another point worth noting the tight clearances while on the elevator. The J-15's main landing gear was almost on the edge of the elevator (at 0:51 in the video), while the nose is almost scraping the edge of the flightdeck!
The piece also includes footage of J-15s taking off from a land base using a ski jump, most likely at the PLAN's base at Huangdicun, Liaoning Province (40°29' 51"N 120°39'25"E) which is used for training PLAN pilots in carrier operations with its ski jump(s) and a section of runway painted and marked like a carrier deck.
One last takeaway from the video is that J-15 serial number 554 with the shark artwork took part in this round of flight operations on the Liaoning, and appears to have been re-engined with the Russian Saturn AL-31F turbofan engine. It was seen before powered by the Chinese-built WS-10H turbofan. It would appear that the Chinese still do not have enough confidence in the WS-10H to perform carrier operations yet.