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Keywords:
Bergman spaces; distance estimates; pseudoconvex domains; analytic functions
Bergman spaces; distance estimates; pseudoconvex domains; analytic functions
Summary:
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.
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