Combine warm water, yeast, and 1 tablespoon olive oil in a bowl. Let stand 5 minutes, then add flour and mix until dough forms. Knead for 3-4 minutes.
Divide dough into 4 portions and roll each into a thin circle. Place on baking sheets.
Mix tomato sauce with garlic, oregano, and basil. Spread evenly over each pizza crust.
Brush the edges of the crusts with remaining olive oil, then top pizzas with artichoke hearts, olives, and roasted red peppers.
Bake at 450°F for 12-15 minutes until crusts are golden and crispy.
Let cool for 2-3 minutes before slicing and serving.