论文标题
伯格曼投射对称性差异
Bergman projection on the symmetrized bidisk
论文作者
论文摘要
我们将Bekollé-Bonami估算值应用于单位磁盘上的加权$ l^p $空间上的(正)伯格曼投影。作为后果,我们获得了伯格曼投影在对称折叠式上的加权索波列夫空间上的界限。我们还提高了伯格曼投影在\ cite {cky}中对对称bidisk上未加权的$ l^p $空间上的界限结果。
We apply the Bekollé-Bonami estimate for the (positive) Bergman projection on the weighted $L^p$ spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized bidisk. We also improve the boundedness result of the Bergman projection on the unweighted $L^p$ space on the symmetrized bidisk in \cite{CKY}.