Antonyms for the term "allow the use of" could include prohibit, forbid, preclude, disallow, deny, obstruct, prevent, refuse or block. All of these words suggest a restriction on the use of something or the ability to access it, whether it's a physical item, a resource, a service, or a location. For instance, banning smoking in public places is a way of prohibiting the use of tobacco in those spaces, whereas denying someone the right to enter a building is an example of disallowing access. In each case, the intent is to establish a rule or limit on what can be done or used in a particular situation.