Hello Luar,
Once you create a new domain, select the domain click on update which will open up administrative domain page, Click on Access control option and then select Create from the right hand side which will pop up another page which will prompt you to select the Subtype as shown below
From this page you can select the Sub type and then you can also select the users and the respective access control can also be defined.
Once you are done with this click on Finish or Apply
After this map the folder to the domain which you have created. this will take care of what you need
Thanks
Athmanand