I installed Ubuntu 9.10 Netbook Remix in my (actually my wife's) HP mini 1000 this afternoon. To my surprise the wireless card did not work. Also, when I looked at System -> Administration -> Hardware Drivers, the list was blank.
After few hours of googling and reading through several not too helpful forum posts, I learned that this was caused by Ubuntu 9.10 shipping "b43" driver out of box, which does not work for HP mini 1000. The proprietary driver "wl" should be used instead. However, no one said exactly what I needed to do to fix this problem.
Eventually, I decided to just launch Synaptic and search for "broadcom". The first result in the filtered list was bcmwl-kernel-source, which looked promising so I just went ahead and installed it.
I had a look at the /etc/modprobe.d folder after the installation finished, I noticed that the package actually created a blacklist file for "b43" related modules for me already. After reboot, my wireless card just worked.