While the fish roasts, prepare the sauce. Combine the wine, peppercorns and shallot in a small sauce pan over medium heat. Bring to a gentle boil and reduce the liquid by half.
½ cup dry white wine, 6 black peppercorns, 1 small shallot
Once the liquid has reduced by half, strain the solids through a sieve and return the strained sauce to the pan. Reduce to about 2 tablespoons of liquid then add the lemon juice and cook for about 30 more seconds. Once reduced, keep warm on low until your fish is ready.
2 tbsp lemon juice
Once your fish is ready and removed from the oven, set it aside while you finish the sauce.
To finish the sauce, remove the pan from the heat completely and let cool for a minute or two. You do not want the pan to be hot, but only warm so the sauce doesn't break. Whisk in the butter one piece at a time, emulsifying the mixture. If your butter isn't easily melting, you may need to return the pan to the burner (on low) briefly for about 30 seconds, but don't let your sauce get too hot during this process.
8 tbs cold unsalted butter
Once all the butter has been incorporated, you are ready to plate your dish.