To make pizza dough, in a mixer bowl, sprinkle yeast and sugar over 1 cup warm water; let stand until foamy. Add 3 cups of the flour, the salt, and olive oil; mix with dough hook until stretchy and no longer sticky, adding more flour if necessary. Divide dough into 4 equal portions. Refrigerate, covered, until needed.
To make white balsamic vinaigrette, in a small nonreactive saucepan, simmer white balsamic vinegar until reduced to 1–1/2 tablespoons. Whisk in extra virgin olive oil. To make aged balsamic reduction, in a small nonreactive saucepan, simmer aged balsamic vinegar until reduced to about 4 teaspoons.
Heat oven to 400 degrees. On lightly floured surface, roll each piece of pizza dough into an 8-inch circle. Place on a baking sheet; bake in a 400 degrees oven for 10 minutes or until firm and slightly brown. Spread pizzas with softened goat cheese, leaving a 1/2-inch border. Toss strawberries with white balsamic vinaigrette; arrange strawberries evenly on goat cheese. Bake 10 minutes more. Remove from oven; scatter crumbled goat cheese on top. Drizzle with aged balsamic reduction; sprinkle with black pepper. Garnish pizzas with a few leaves of arugula and frisée.