Airbus A340 plane lands on Antarctica for first time
cnn.com
cnn.com
Looks like they’re self regulated by the International Association of Antarctica Tour Operators http://www.iaato.org/
Some governments might place further restrictions on what their citizens can do on Antarctica.
Both of these companies offer regular flights to Antarctica, not on A340s because there’s no point and there aren’t many clients crazy enough to insist on flying in with their VIP-configuration A340s.