For the dough, dissolve yeast in 125 ml lukewarm water. Mix flour, 1 teaspoon of salt and oregano. Add 2 tablespoons of oil and mix with the dough hook of the hand mixer, letting the yeast water run in.
Knead everything into a smooth dough. Cover and leave to rise in a warm place for about 40 minutes. Wash the herbs and dab dry. Put 2 sprigs of rosemary aside for garnishing. Wash the tomatoes, dab dry and clean.
Cut half the tomatoes into pieces. Cut the rest of the tomatoes crosswise in half and slice. Peel onion and garlic and cut into fine cubes. Heat 1 tablespoon of oil in a saucepan. Sauté the garlic and onions until translucent.
Add tomato paste, herbs and tomato pieces and sweat for about 5 minutes. Pour in the stock and simmer covered for about 20 minutes. Wash and clean aubergine and zucchini. Cut the aubergines in half lengthwise.
Cut both into slices. Clean, wash and cut the peppers into half rings. Put the vegetables side by side on a baking tray lined with baking paper and season with salt and pepper. Cook in the preheated oven (electric cooker: 200 °C/ circulating air: 175 °C/ gas: level 3) for about 7 minutes.
Remove herbs from the tomato sauce. Add the tomato slices to the sauce and reduce in an open pot for about 5 minutes under high heat to a creamy sauce, season with salt and pepper. Roll out the dough on a floured work surface, spread with tomato sauce and cover with baked vegetables.
Sprinkle cheese over it. Bake in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for 20-30 minutes until golden brown. Remove the pizza and garnish with the remaining rosemary.