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arXiv · 1906.07950

Bergman projections induced by doubling weights on the unit ball of Cn

Juntao Du·Songxiao Li·Xiaosong Liu·Yecheng Shi
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Abstract

The boundedness of $P_\omega:L^\infty(\mathbb{B})\to \mathcal{B}(\mathbb{B})$ and $P_\omega(P_\omega^+):L^p(\mathbb{B},\upsilon dV)\to L^p(\mathbb{B},\upsilon dV)$ on the unit ball of $\mathbb{C}^n$ with $p>1$ and $\omega,\upsilon\in \mathcal{D}$ are investigated in this paper.

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Juntao Du, Songxiao Li, Xiaosong Liu, Yecheng Shi. 2019-06-19. Bergman projections induced by doubling weights on the unit ball of Cn. https://arxiv.org/abs/1906.07950

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