Xiaosong Liu

most citedCharacterizations of Dirichlet-type Spaces

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math.CV2019★ 1 cited

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

Juntao Du, Songxiao Li, Xiaosong Liu +1

The boundedness of $P_{ω} : L^{\infty} (B) \to B (B)$ and $P_{ω} (P_{ω}^{+}) : L^{p} (B, υ d V) \to L^{p} (B, υ d V)$ on the unit ball of $\mathbb{C}…

math.CV2013★ 1 cited

Characterizations of Dirichlet-type Spaces

Xiaosong Liu, Gerardo R. Chacón, Zengjian Lou

We give three characterizations of the Dirichlet-type spaces $D (μ)$ . First we characterize $D (μ)$ in terms of a double integral and in terms of the mean oscillation in the Bergman…