Step 1Heat the oven to 425 degrees. Line a rimmed baking sheet with foil.
Step 2Heat 2 tablespoons olive oil in a large skillet over medium-high heat. Season the pork chops on both sides with salt and pepper, then add 2 chops to the skillet and cook, flipping once halfway through, until golden brown on both sides, about 4 minutes total. Transfer the chops to the prepared baking sheet and repeat with the remaining 2 chops; wipe the skillet clean and reserve.
Step 3Place the chops in the oven and bake until an instant-read thermometer inserted in the thickest part of each reads 160 degrees, 10 to 12 minutes. Remove from the oven and let rest for 10 minutes.
Step 4While the chops bake, return the skillet to medium heat and add the remaining 2 tablespoons olive oil. Add the red pepper, season with salt and cook, stirring, for 6 minutes. Stir in the Hungarian wax peppers and continue cooking until all the peppers are soft and caramelized at the edges, 6 to 8 minutes more. Stir in the tomato paste and paprika, and cook for 1 minute. Add 1 ¼ cups water and stir until evenly combined. Reduce the heat to low and let simmer to blend flavors, about 1 minute more. Remove the paprikash sauce from the heat and season with salt and pepper.
Step 5Divide the pork chops among plates and top each with some paprikash sauce and serve with sour cream on the side.
Mushroom: Swap 1 medium yellow onion and 4 ounces cremini mushrooms, thinly sliced, for the sweet peppers and swap 1 tablespoon dried mushroom powder for the paprika.
Creole cream: Swap 1 small yellow onion and 1 small green bell pepper for the sweet peppers, swap 2 tablespoons fresh thyme leaves and ½ teaspoon cayenne for the paprika, and swap 1 ½ cups heavy cream for the water; omit the sour cream.
Mustard leek: Swap 3 large (or 6 small) leeks, thinly sliced, for the sweet peppers and swap 2 tablespoons Dijon mustard for the tomato paste; reduce the paprika to 1 teaspoon.