Rong Liu

activity

20112021

most citedStrong law of large number of a class of super-diffusions

2 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.PR2021

Convergence rate for a class of supercritical superprocesses

Rongli Liu, Yan-Xia Ren, Renming Song

Suppose $X = {X_{t}, t \geq 0}$ is a supercritical superprocess. Let $ϕ$ be the non-negative eigenfunction of the mean semigroup of $X$ corresponding to the principal eigenvalue $λ > 0$ .…

math.PR2020

Quasi-stationary distributions for subcritical superprocesses

Rongli Liu, Yan-Xia Ren, Renming Song +1

Suppose that $X$ is a subcritical superprocess. Under some asymptotic conditions on the mean semigroup of $X$ , we prove the Yaglom limit of $X$ exists and identify all quasi-statio…

math.CV2017

Hardy Spaces over Half-strip Domains

Guantie Deng, Rong Liu

We define Hardy spaces $H^{p} (Ω_{\pm})$ on half-strip domain~ $Ω_{+}$ and $Ω_{-} = C ∖ Ω_{+}$ , where $0 < p < \infty$ , and prove that functions in $H^{p} (Ω_{\pm})$ has non-ta…

math.CV2017

Notes of Boundedness on Cauchy Integrals on Lipschitz Curves ( $p = 2$ )

Guantie Deng, Rong Liu

We provide the details of the first proof in~\cite{CJS89}, which proved that Cauchy transform of $L^{2}$ ~functions on Lipschitz curves is bounded. We then prove that every $L^{2}$ ~func…

math.CV2017★ 1 cited

Hardy Spaces ( $1 < p < \infty$ ) over Lipschitz Domains

Guantie Deng, Rong Liu

Let $Γ$ be a Lipschitz curve on the complex plane $C$ and $Ω_{+}$ is the domain above $Γ$ , we define Hardy space $H^{p} (Ω_{+})$ as the set of holomorphic functions $F$ satisfyin…

math.PR2011★ 2 cited

Strong law of large number of a class of super-diffusions

Rong-Li Liu, Yan-Xia Ren, Renming Song

In this paper we prove that, under certain conditions, a strong law of large numbers holds for a class of super-diffusions $X$ corresponding to the evolution equation $\partial_t u…

Convergence rate for a class of supercritical superprocesses

Quasi-stationary distributions for subcritical superprocesses

Hardy Spaces over Half-strip Domains

Notes of Boundedness on Cauchy Integrals on Lipschitz Curves (p=2)

Hardy Spaces (1<p<∞) over Lipschitz Domains

Strong law of large number of a class of super-diffusions

Notes of Boundedness on Cauchy Integrals on Lipschitz Curves ( $p = 2$ )

Hardy Spaces ( $1 < p < \infty$ ) over Lipschitz Domains