Wireless Printer Keeps showing "printer is off line message"

I have a brand new HP laser jet printer that is on our home internet network. There are 3 computers connected wirelessly to this via direct access. My Dell lap top will work OK right after I download and install the drivers, but then after a time it will how the message "printer is offline"  The other 2 computers on the network will still print fine through the same driver download.

if I uninstall the drivers and re install, it will work OK for a while, and then go back to the "printer is off line" mode.

HELP.