Methods and apparatuses are provided for a wireless communication system in which configuration information on a search space for monitoring a physical downlink control channel (PDCCH) is received from a base station. The configuration information includes information on a plurality of control resource sets (CORESETs) for the PDCCH. A PDCCH candidate set is identified for each of the plurality of CORESETs, based on the configuration information and an offset. The offset is used to adjust an index of a control channel element (CCE) in each PDCCH candidate set. The search space is determined based on the identified PDCCH candidate set for each of the plurality of CORESETs. The PDCCH is monitored based on the determined search space.