Preheat oven to 375°. In a small bowl, combine sugars, flour and spices; set aside. In a large bowl, toss apples with lemon juice. Add sugar mixture; toss to coat. On a lightly floured surface, roll one half of dough to a 1/8-in.-thick circle; transfer to a 9-in. pie plate. Trim even with rim. Add filling; dot with butter. Roll remaining dough to a 1/8-in.-thick circle. Place over filling. Trim, seal and flute edge. Cut slits in top. Beat egg white until foamy; brush over crust. Sprinkle with sugar. Cover edge loosely with foil. Bake 25 minutes. Remove foil; bake until crust is golden brown and filling is bubbly, 20-25 minutes longer. Cool on a wire rack.