browse domain A with domain B client

HI,
i have network and with active directory setup at home. And when i take my work laptop which is hooked up to the work domain i can’t browse the server at home, if i go start run \\serverhome it gives me the error no logon servers available. however if i log in on the laptop as local admin it lets me browse it fine. is there anything i have to do at my server to let my work domain laptop browse it? thanks