No problem using the PAL batterycharger in a US outlet. i have used mine in the Philippines that have the same voltage as in the US. You only need an adapter.
In general one have to check at what Hz the voltage currency have 50 or 60Hz. No problem there with the PAL dvx100 adapter, it supports both. On the backsticker is says "50/60Hz", means it can be used in most outlets around the world.
How I know this? I travelled with my cellphone, and the charger did'nt support both 50 and 60Hz. The charger malfunctioned