TY - JOUR
T1 - A Theorem of Nehari Type on the Bergman Space
AU - Lu , Yufeng
AU - Yang , Jun
JO - Communications in Mathematical Research 
VL - 2
SP - 159
EP - 164
PY - 2021
DA - 2021/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19302.html
KW - Bergman space, unit ball, Hankel operator.
AB - <p style="text-align: justify;">In this paper we concern with the characterization of bounded linear
operators $S$ acting on the weighted Bergman spaces on the unit ball. It is shown
that, if $S$ satisfies the commutation relation $ST_{z_i} = T_{\overline{z}_i}S(i = 1, · · · , n)$, where $T_{z_i} = z_if$ and $T_{\overline{z}_i} = P(\overline{z}_if)$ where $P$ is the weighted Bergman projection, then $S$ must be a Hankel operator.</p>