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

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.

Cited by in corpus (1)

• Characterization of forward, vanishing, and reverse Bergman Carleson measures using sparse domination