Preheat your oven to 450 degrees F. If you have a pizza stone, put it in the oven now.
Heat a frying pan over medium heat. When the pan is hot, add the olive oil. When it shimmers add the onions and stir occasionally for about 10-15 minutes, until they are browned and caramelized, and okay maybe a little burned.
Meanwhile, lay out a square of parchment paper. Dust with a bit of flower. Roll out the pizza dough into a 13-14 inch circle. Use your fingers to build up the edges a little bit so that you have a decent crust.
Drizzle the dough with about a tablespoon of olive oil. Use a brush or your fingers to moisten the dough completely, especially the crust.
Transfer the dough to the oven to par bake. If you are using a baking sheet or pizza pan, transfer the dough to the pan at this point, then place it in the oven.
If you are using a pizza stone, use a flat-edged baking sheet or a pizza peel to slide the parchment paper (with the dough on top) onto your pizza stone.
Bake at 450 for 1 minute. Remove from the oven.
Squirt the half-baked crust with plenty of mustard and BBQ sauce. Use the back of a spoon to spread it around.
Top with the slices of cheese, chopped hot dog, onions, and then sprinkle with mozzarella cheese. If you like sauerkraut, add that on top so that it gets crispy in the oven.
Return the pizza to the oven and bake for another 10-12 minutes, until the cheese is getting brown spots on the top.