There is a short range version of the A330 offered by Airbus which is certified for lower weights. It is marketed as a big A320/B737 for shorter routes where more seats are needed than the narrow bodies offer.
It can be upgraded to a normal A330 by paying Airbus for the paperwork. This enables them to offer the aircraft into a specific area of the market at a competitive price without reducing the price for airlines wishing to operate it on its intended medium to longer routes.
British Airways used to limit its B757s to lower weights to reduce landing fees charged by BAA. Their operation wasn't affected as they didn't need the aircrafts full capability on the routes they used it on.