治下

under the jurisdiction of

down / downwards / below / lower / later / next (week etc) / second (of two parts) / to decline / to go down / to arrive at (a decision, conclusion etc) / measure word to show the frequency of an action

to rule / to govern / to manage / to control / to harness (a river) / to treat (a disease) / to wipe out (a pest) / to punish / to research