On the Bergman projections acting on $L^\infty$ in the unit ball $\mathbb B_n$

Van An Le

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arXiv · 1912.02307

On the Bergman projections acting on $L^\infty$ in the unit ball $\mathbb B_n$

Van An Le

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Abstract

Given a weight function, we define the Bergman type projection with values in the corresponding weighted Bergman space on the unit ball $\mathbb B_n$ of $\mathbb C^n, n>1$. We characterize the radial weights such that this projection is bounded from $L^\infty$ to the Bloch space $\mathcal B$.

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Van An Le. 2019-12-04. On the Bergman projections acting on $L^\infty$ in the unit ball $\mathbb B_n$. https://arxiv.org/abs/1912.02307

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