A sharp estimate for $A^ p_ \alpha$ functions in $\textbf {C}^ n$
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- by Dragan Vukotić PDF
- Proc. Amer. Math. Soc. 117 (1993), 753-756 Request permission
Abstract:
We observe that involutive automorphisms ${\varphi _a}$ of the unit ball in ${{\mathbf {C}}^n}$ induce surjective involutive isometries of the weighted Bergman space $A_\alpha ^p(0 < p < \infty ,\;\alpha > - 1)$. By means of these isometries we solve an extremal problem for the point-evaluation functional, thus obtaining a sharp estimate for $|f(z)|$ in terms of $||f|{|_{p,\alpha }}$ and $|z|$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 753-756
- MSC: Primary 46E15; Secondary 30H05, 46J15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1120512-1
- MathSciNet review: 1120512