Talk:Bergman space

Question

what is alpha?

It appears to be notation. It would be worthwhile to explain if the notation stands for anything. Anyone know?

I corrected the expression for the norm. Now it includes an alpha.

Finally, the formula seems to be actually correct. Although now it only includes non-weighted Bergman-Spaces. —Preceding unsigned comment added by 77.0.192.198 (talk) 13:34, 9 May 2011 (UTC)

$L_{\alpha }^{2}$ traditionally refers to the standard, unweighted, Bergman space. So there was never actually any error with the formula. See, for instance, Aleman, A.; Richter, S.; Sundberg, C., "Beurling's Theorem for the Bergman space", Acta Mathematica, 177 (2): 275–310, doi:10.1007/BF02392623. A separate section on weighted Bergman spaces may be warranted, but the unweighted ones seem to be by far the more commonly-studied ones, so the focus on these in a stub like this is appropriate. Sławomir Biały (talk) 13:51, 9 May 2011 (UTC)