We try to chart out the ocean in places and name them, for example, Australian Antarctic, however this water has nothing to do with Australia. Some of these waters may be territorial claim, however the wailers pose no threat to Australia, and while the Australians may not like waling, there is no reason to attempt to stop the Japanese wailers from waling in these waters.
Japan should respect the autonomy of Australia and not be allowed to whale in the Australian Antarctic waters without the permission of the sovereign nation of Australia. If Australia does not want whaling to take place there, the Japanese should respect that decision. If they reach an agreement for the Japanese to whale, they should be allowed to do so.