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Suppose $\alpha > -1$ and $p>0$. $A_{\alpha}^{p}$ is Bergman space and $D_{\alpha}^{p}$ is Dirchlet space. I want to know exact proof of why $$D_{\alpha}^{p}= A_{\alpha-p}^{p}$$ for $\alpha> p-1$?

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  • $\begingroup$ you are supposed to define both side $\endgroup$ – reuns Sep 11 at 11:57
  • $\begingroup$ I define both side but I cannot achieve same equality in both side :( $\endgroup$ – yaghish Sep 11 at 14:15
  • $\begingroup$ define both side here in your question $\endgroup$ – reuns Sep 12 at 10:08
  • $\begingroup$ Is it possible that you send me this question answer? $\endgroup$ – yaghish Sep 14 at 17:16
  • $\begingroup$ plz someone help me...... $\endgroup$ – yaghish Sep 16 at 20:54

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