Funnily enough lufthansa.com are already selling these flights but airdolomiti.com are not even if the airline operating these flights appears to be Air Dolomiti.
When you click on information on any flight for sale on lufthansa.com this is what you get:
Detailed flight informationFlight LH1796
Departs 17:35 on Wed 11 Feb
Milan, Malpensa, Terminal 1
Arrives 19:10 on Wed 11 Feb
Barcelona, Terminal a
Duration 1h35
Airline Air Dolomiti
Aircraft Airbus Industrie A319
It will be interesting to see how this affair ends up...