The amount of information held by organizationsÂ’ databases is increasing very quickly. A recently proposed solution to the problem of data management, which is becoming increasingly popular, is represented by database outsourcing. Several approaches have been presented to database outsource management, investigating the application of data encryption together with indexing information to allow the execution of queries at the third party, without the need of decrypting the data. These proposals assume access control to be under the control of the data owner, who has to filter all the access requests to data. In this paper, we put forward the idea of outsourcing also the access control enforcement at the third party. Our approach combines cryptography together with authorizations, thus enforcing access control via selective encryption. The paper describes authorizations management investigating their specification and representation as well as their enforcement in a dynamic scenario.