A message system is associated with a message domain which includes a mobile radio network, a message server conforming to a first standard referred to as the Enhanced Message Service and/or Short Message Service standard and/or a message server conforming to a second standard referred to as the Multimedia Message Service standard. The message domain further includes a message gateway which includes a database including a table of message profiles of terminals belonging to the message domain and is able to convert a message sent in accordance with the first standard into a message in accordance with the second standard.