In the bowl of a stand mixer, combine the flour, cornmeal, yeast, sugar and salt and give it a quick whisk. Melt 3 tablespoons of the butter and add it, along with the warm water, to the dry ingredients. Leave the remaining 4 tablespoons of butter on the counter to soften.
Mix on low speed for 1 to 2 minutes, until the dough starts to come together, then knead for 4 to 5 minutes on medium speed, until the dough is smooth.
Drizzle a little olive oil into a large, clean bowl, then transfer the dough to the bowl and give it a turn to coat it in the oil so it doesn't dry out. Cover tightly with plastic wrap, and let the dough rise in a warm place for about 1 hour, until nearly doubled in size.
When the dough has risen, roll it into a 15x12-inch rectangle on a clean work surface using a rolling pin. Spread the remaining 4 tablespoons of softened butter evenly over the dough.
Roll the dough into a tight cylinder and pinch the edges together. With the seam side down, flatten the dough into an 18x4-inch rectangle, then slice it in half crosswise with a sharp knife or pastry cutter. Fold each portion of the dough over itself into thirds, then pinch the seams together to shape into two balls.
Return the balls of dough to the oiled bowl, cover tightly with plastic wrap again, and allow to rise in the refrigerator for another 45 minutes, until almost doubled in size again.