Here you go:
Fair Trials International: News : List of controlled pharmaceutical substances in UAE
They are EXTREMELY strict - a British guy got jailed when they found 0.003 GRAMS of cannabis stuck to the sole of his shoe - that is invisible to the naked eye and he got the mandatory minimum 4 year sentence.
There are a load of over the counter / prescription drugs that will also get you banged up
Personally, I'd go out of my way to AVOID touching down in Dubai