Can massages under the eyes, in the "bags" or "hollows" area, improve the appearance/improve the skin?

While vigorous massage may create a little swelling, this will subside. And this will not create and new collagen. There are many treatments available to help improve the under eye area, including surgery, lasers, and fillers. A consultation with a cosmetic surgeon will explain how they can improve the appearance of the lids.

This is a case of wishful thinking over reality. There is no valid scientific information that massage will be effective for your concerns. There are a variety of non-surgical treatments that may produce varying degrees of cosmetic improvement of the eyelids: skin care directed by a medical aesthetician, light skin peels, laser or radiofrequency skin tightening procedures, and fillers for the hollows.I would suggest that you find a surgeon
certified by the American Board of American Plastic Surgery and one who is
ideally a member of The American Society for Aesthetic Plastic Surgery (ASAPS)
that you trust and are comfortable with. You should discuss your concerns with
that surgeon in person.Robert Singer, MD FACSLa Jolla, California