A method and a remote digital unit in a central office of a core network, for handling a radio communication for a mobile terminal being connected to an access point at a local site. The remote digital unit determines that the mobile terminal can be served locally by a local digital unit connected to a local signal switching unit at the local site, and instructs the local digital unit to locally process signals to or from the mobile terminal in the communication. The remote digital unit further schedules the signals over a radio interface between the mobile terminal and the access point, and sends updated scheduling information to the local digital unit to indicate the scheduling, thereby enabling the local digital unit to handle the radio communication according to the updated scheduling information. In this way, the functionality of a base station is divided into a relatively simple digital unit and switching function at the local site and a more advanced digital unit with scheduling function at the central office, such that the costs for implementing radio access at a local site are low and tromboning of communicated signals over the core network can be avoided.