Preheat the oven to 425°F (220°C).
Lightly grease a 12 x 16-inch sheet pan with 1 tablespoon of olive oil.
Roll out the pizza dough on a lightly floured surface to fit the sheet pan dimensions.
Transfer the dough to the prepared sheet pan and gently press it to fit the pan edges.
In a medium bowl, combine the sour cream, cream cheese, minced garlic, salt, black pepper, and crushed red pepper flakes. Mix until smooth.
Add the chopped spinach and artichoke hearts to the cream cheese mixture and stir until evenly combined.
Spread the spinach dip mixture evenly over the pizza dough, leaving a small border around the edges.
Sprinkle the shredded mozzarella cheese evenly over the spinach mixture.
Top with the shredded Parmesan cheese.
Bake in the preheated oven for 18 to 20 minutes, or until the crust is golden brown and the cheese is melted and bubbly.
Remove the pizza from the oven and let it cool for 5 minutes before slicing and serving.