Interfaces between different materials provide the environment for many novel electronic phases and properties which are not available in bulk materials, and are important from a basic and possibly application point of view. Recent experimental developments have stimulated this field, most notably the metalic phase at Mott-insulator (MI) /band-insulator (BI) interfaces of LaTiO3/SrTiO3 and the electronic reconstruction for LaAlO3 films on SrTiO3 which even show superconductivity. This talk presents theoretical work on correlation effects for the electronic behavior at BI/MI/BI heterostructures and arrays. Using the Kotliar-Ruckenstein slave-boson approach we discuss the mutual electron doping at the interface of the two insulators leading to a metallic phase. There are two obvious regimes of the electronic reconstruction at the interface: Hartree regime (weak correlation) and Mott regime (strong correlation). These regimes can be distinguish clearly in the charge redistribution and the optical conductivity. Correlation effects also play a role for thermopower of the metallic interface. Finally also ordered phases in the interface region will be addressed.