The only way Global Warming and Ozone have a sure link is the fact that they are both effected by man-made greenhouse gases. For the ozone, its CFCs, which the United States have fought for years to get rid of all uses of this chemical. Other than this, ozone does not have a for sure sign of connect to Global Warming.
Here's something you may not have heard, everytime lightning flashes, O3 ozone gas is produced. Every time a volcanoe erupts the ozone layer is damaged by the massive amounts of toxins put in the air, especially the sulfates which create a base for chlorine gases which destroy the O3 ozone molecule.