sunken apple and honey cake

Name: sunken apple and honey cake
Cuisine: European, British
Ingredients: 4 tiny-to-small apples, halved, peeled and cored; 2 tablespoons fresh lemon juice; 2 tablespoons granulated sugar; 1/2 cup plus 1 tablespoon (125 grams) unsalted butter, at room temperature; 1/4 cup plus 2 tablespoons (6 tablespoons) granulated sugar; 1/4 cup honey (any variety you like to eat); 1 teaspoon vanilla extract; 3 large eggs, separated; 2 good pinches of salt; 2 teaspoons baking powder; 1 1/4 cups all-purpose flour; 1/4 cup honey; A good pinch of sea salt