Depending on what you keep besides fish. Most people with a reef tank will advise against using either, even if you have fish! Now, I will give you a bit of my history and tell you my very biased opinion.
I have a large tank (360) and was having no problems with the fish and corals in my previous tank. After the move to this tank, everything continued to do well until I added a fish from the lfs. I bought this fish no differently than any other before (inpected it closely, stared at it for a while looking for disease or body blemishes, etc). This fish must have had very little marine velvet in it for me to see it, but enough to kill my well over $1000 fish collection!!! I was extremely angry. I waited 7 weeks without adding any fish. I then added a school of green chromis and they did well, so I started to slowly increase my fish load again and I am almost done adding fish.
I am telling you this long story so you see where I am coming from. I had a 40 watt UV filter here and after speaking with some of the people in RC thathave the largest tanks and finding they all ahd UV going, I decided to start mine. Since I have done that, I am yet to see a speck of ick or anything else in the fish. I do not quarintine my new additions by the way for a number of reasons. Another reason I keep the UV even if everything seems well is that it also kills or mutates other things that can cause coral infections. I looked at tank water under the microscope and it is a soup of bugs in it. If I had the available means, I would add another 80 watts of UV. In other words, I recommend it to anyone with fish, reef or no reef. I got a lot of lip from people with reef tanks for recommending this to others, but if it kills the good bugs that my corals need to eat to survive, all I have to say is that my corals must love cadavers because they are literally growing out of the water!!!!!!!!
Ozone is another matter entirely. I ahve never used it before, so I can't comment. The 2-3 people I know that run it only use it in moderate to small amounts for a day or two after doing large cleaning in the tank.
Good luck,
Alberto