I am really hollow/thin under my eyes. Veins show through and the undereye area is...
Consult a Board Certified Plastic Surgeon (American Board of Plastic Surgery) for a comprehensive evaluation of your facial structure. Discuss your expectations and what is available for YOU. After evaluating the benefits and risks, you can then make up your mind based on good information.
Lower lid hollowness can be improved. One must exercise care and caution, as lower lid skin and the underlying soft tissues are usually quite thin, and thus the lower lids are less able to conceal grafted fat. Fat grafting must be preformed conservatively here, with a plan for secondary and occasionally tertiary fat grafting procedures depending on the 'take' of the initial fat grafting surgery.