I hate to disagree with xvimbi, but my understanding is that the accidental only applies to notes on that same line or space in the same measure. It should not be assumed to apply to the other clef.
Thanks for the replies guys. I think I will have to just play both and see what sounds closer to a recording. The note in question is part of a 32nd-note run. During practice this evening I have been playing the Ab. What's bugging me is several measures later there is a similar run, but with an A natural. But I'm sure I can figure it out by ear, once I can play the piece better.