Xiaofen Lv

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math.CV2021

Boundedness of area operators on Bergman spaces

Xiaofen Lv, Jordi Pau, Maofa Wang

We completely characterize the boundedness of the area operators from the Bergman spaces $A_{α}^{p} (B_{n})$ to the Lebesgue spaces $L^{q} (S_{n})$ for all $0 < p, q < \infty$ .…

math.CV2017

Localization and compactness of Operators on Fock Spaces

Zhangjian Hu, Xiaofen Lv, Brett D. Wick

For $0 < p \leq \infty$ , let $F_{φ}^{p}$ be the Fock space induced by a weight function $φ$ satisfying $d d^{c} φ ≃ ω_{0}$ . In this paper, given $p \in (0, 1]$ we introduce the concept of…