Unfortunately, it may not be possible to find a compatible WLAN driver for the BCM4313 802.11b/g LP-PHY on your Asus Eee PC 1015pw for Windows Vista (32-bit). Since Asus doesn't provide any Vista drivers and the Windows 7 drivers aren't working, it's possible that there isn't a compatible driver available for Vista.
However, you could try looking for third-party drivers for the BCM4313 802.11b/g LP-PHY, but keep in mind that using non-official drivers can be risky and could cause stability or security issues with your system.
Another option would be to upgrade to a newer operating system that has drivers available for your hardware, such as Windows 7 or later, or a Linux distribution that includes support for the BCM4313 802.11b/g LP-PHY