@Article{CMR-25-2, author = {Yufeng, Lu and Yang, Jun}, title = {A Theorem of Nehari Type on the Bergman Space}, journal = {Communications in Mathematical Research }, year = {2009}, volume = {25}, number = {2}, pages = {159--164}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/2009-CMR-19302}, url = {https://global-sci.com/article/81939/a-theorem-of-nehari-type-on-the-bergman-space} }