This paper shows that if is a bounded linear operator acting on the weighted Bergman spaces on the unit ball in such that , where and ; and where is the weighted Bergman projection, then must be a Hankel operator.
"A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball." Abstr. Appl. Anal. 2008 1 - 7, 2008. https://doi.org/10.1155/2008/538573