Embodiments of a high-efficiency WLAN (HEW) access point (AP), user device (STA), and methods for communication between HEW APs and STAs in a wireless network are generally described herein. In some embodiments, a HEW AP determines a duration of a low-power time allocation, within a beacon period, that is to be reserved for low-power transmissions by STAs within a service range of the AP. The HEW AP can broadcast time sharing information to STAs within the service range of the AP. The time sharing information can indicate a start time of the duration of the low-power time allocation with respect to a start time of the beacon period and a maximum transmission power for transmissions performed during the low-power time allocation. Other embodiments and methods are also described.