Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions

Zhongkai Li, Haihua Wei

For $\lambda \ge 0$, a $C^2$ function $f$ defined on the unit disk $\mathbb{D}$ is said to be $\lambda$-analytic if $D_{\bar{z}}f=0$, where $D_{\bar{z}}$ is the (complex) Dunkl operator given b…