Halve apricots and place cut side up on a rack set on a baking sheet. On each halve place 1/2 teaspoon each of butter and brown sugar. Place under the broiler for 4 to 5 minutes, until butter and brown sugar are melted and bubbly. Place the apricots in a shallow dish and pour any liquid that may have dripped on the baking sheet over the apricots. Serve warm over vanilla ice cream or custard. This is so quick and easy and makes a great summer time desert.