Very large complex features can cause these issues. Avoid using multipart features, features with 'holes', and very dense/complex features with many vertices.
--Jim
The bigger issue at hand is that the Operating System installed on these handhelds only allow for a very limited amount of memory to be used per program (I think it is like 32MB). You could have a unit with 512MB plus, and Windows Mobile is still going to only allow and allocate just that 32MB to ArcPad and absolutely no more. So, You could have the most expensive unit around with the highest amount of processing power and memory around and you will still run into this issue. It isn't the unit that is the problem, it is the OS.