Renjin Jiang

activity

20092020

collaborators

5 papers

math.CA2020

On the Dirichlet problem for the Schrödinger equation with boundary value in BMO space

Renjin Jiang, Bo Li

Let $(X, d, μ)$ be a metric measure space satisfying a $Q$ -doubling condition, $Q > 1$ , and an $L^{2}$ -Poincaré inequality. Let $L = L + V$ be a Schrödinger operator on $…

math.DG2018

Riesz transform under perturbations via heat kernel regularity

Renjin Jiang, Fanghua Lin

Let $M$ be a complete non-compact Riemannian manifold. In this paper, we derive sufficient conditions on metric perturbation for stability of $L^{p}$ -boundedness of the Riesz transfo…

math.CA2018

Flow with $A_{\infty} (R)$ density and transport equation in $BMO (R)$

Renjin Jiang, Kangwei Li, Jie Xiao

We show that, if $b \in L^{1} (0, T; L_{loc}^{1} (R))$ has spatial derivative in the John-Nirenberg space $BMO (R)$ , then it generalizes a unique flow $ϕ(…

math.AP2013

Regularity and Capacity for the Fractional Dissipative Operator

Renjin Jiang, Jie Xiao, Dachun Yang +1

This note is devoted to exploring some analytic-geometric properties of the regularity and capacity associated to the so-called fractional dissipative operator $\partial_{t} + (- Δ)^{α}$ ,…

math.CA2009

New Orlicz-Hardy Spaces Associated with Divergence Form Elliptic Operators

Renjin Jiang, Dachun Yang

Let $L$ be the divergence form elliptic operator with complex bounded measurable coefficients, $ω$ the positive concave function on $(0, \infty)$ of strictly critical lower type $p_…

On the Dirichlet problem for the Schrödinger equation with boundary value in BMO space

Riesz transform under perturbations via heat kernel regularity

Flow with A∞​(R) density and transport equation in BMO(R)

Regularity and Capacity for the Fractional Dissipative Operator

New Orlicz-Hardy Spaces Associated with Divergence Form Elliptic Operators

Flow with $A_{\infty} (R)$ density and transport equation in $BMO (R)$