The Express version of Oracle is not supported for the Pega 7 Platform. You can check the Platform Support Guide for more information about supported databases and application servers. Page 28 states:
"Note: None of the “Express” or “Personal” versions of these databases have been tested with the Enterprise version of Pega 7; no express/personal version of a database is supported with Pega 7."
Frameworks are now called Industry Applications. Check the release note for your specific application to get more information about the system requirements for that application. See Products > Industry Solutions.