Hollow Under Eyes Are Caused by Radiofrequency Treatment?

The hollowness may be have resulted simply from aging. The treatment is the same though. Usually filler injections are useful. At times, lower blepharoplasty with fat transposition may be best. See an oculoplastic surgeon for evaluation.

Usually, fillers or fat grafting may be used to help in these issues.  Fillers tend to produce smoother results.  However, fat grafting is not unreasonable.  Find a plastic surgeon with ELITE credentials who performs hundreds of liposuction and fat transfer procedures each year.  Then look at the plastic surgeon's website before and after photo galleries to get a sense of who can deliver the results.  Kenneth Hughes, MD Los Angeles, CA

I doubt radiofrequency treatments have much effect on fat or skin for that matter. If there is a true volume deficiency around the orbit it can be handled with dermal fillers in the office.

RF devices can definitely dissolve fat in the face, which for some, is a good thing, but for others, like you, may not be so good. Fortunately, facial fat grafting can restore that lost volume very successfully.
 

The humbleness you have would probably best be treated by using your own tissue but not fat injections. Injections of fat cause a scar sausage appearance. Fillers can be used temporarily. I need to see better pictures to evaluate your specific problem .