Preheat the oven to 450°F. Line a baking sheet with parchment paper.
On a lightly floured surface, roll the dough to ¼-inch thick and transfer to the baking sheet.
Brush with melted butter, leaving a 1-inch border. Top with rosemary, garlic, chili flakes, potatoes, fontina, and prosciutto. Drizzle with 1 tablespoon olive oil.
Bake for 15 minutes, until golden and bubbly. Top with burrata and let it melt atop the hot pizza.
Toss the remaining 2 tablespoons of olive oil, lemon juice, vinegar, salt, and chili flakes with the arugula, basil, and Parmesan.
Top the pizza with the salad. Slice and serve.
