Junqiang Zhang

activity

20132019

L^{p}

Estimates of Kato Square Roots Associated to Degenerate Elliptic Operators

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.CA2019

Quantitative Boundedness of Littlewood--Paley Functions on Weighted Lebesgue Spaces in the Schrödinger Setting

Junqiang Zhang, Dachun Yang

Let $L := - Δ + V$ be the Schrödinger operator on $R^{n}$ with $n \geq 3$ , where $V$ is a non-negative potential which belongs to certain reverse Hölder class $R H_{q} (R^{n})$ …

math.CA2018

Atomic Characterizations of Hardy Spaces Associated to Schrödinger Type Operators

Junqiang Zhang, Zongguang Liu

In this article, the authors consider the Schrödinger type operator $L := - div (A \nabla) + V$ on $R^{n}$ with $n \geq 3$ , where the matrix $A$ is symmetric and satisfies uni…

math.CA2018

Some Estimates of Schrödinger Type Operators on Variable Lebesgue and Hardy Spaces

Junqiang Zhang, Zongguang Liu

In this article, the authors consider the Schrödinger type operator $L := - div (A \nabla) + V$ on $R^{n}$ with $n \geq 3$ , where the matrix $A$ satisfies uniformly elliptic c…

math.CA2016

Variable Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Dachun Yang, Junqiang Zhang, Ciqiang Zhuo

Let $L$ be a one-to-one operator of type $ω$ in $L^{2} (R^{n})$ , with $ω \in [0, π /2)$ , which has a bounded holomorphic functional calculus and satisfies the Davies-Gaffney esti…

math.CA2015★ 1 cited

Riesz Transform Characterizations of Hardy Spaces Associated to Degenerate Elliptic Operators

Dachun Yang, Junqiang Zhang

Let $w$ be a Muckenhoupt $A_{2} (R^{n})$ weight and $L_{w} := - w^{- 1} div (A \nabla)$ the degenerate elliptic operator on the Euclidean space $R^{n}$ . In this a…

math.CA2015★ 2 cited

Weighted $L^{p}$ Estimates of Kato Square Roots Associated to Degenerate Elliptic Operators

Dachun Yang, Junqiang Zhang

Let $w$ be a Muckenhoupt $A_{2} (R^{n})$ weight and $L_{w} := - w^{- 1} div (A \nabla)$ the degenerate elliptic operator on the Euclidean space $R^{n}$ , $n \geq 2$ …

math.CA2013★ 1 cited

Boundedness of Intrinsic Littlewood-Paley Functions on Musielak-Orlicz Morrey and Campanato Spaces

Yiyu Liang, Eiichi Nakai, Dachun Yang +1

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be such that $\vz(x,\cdot)$ is nondecreasing, $φ (x, 0) = 0$ , $φ (x, t) > 0$ when $t > 0$ , $lim_{t \to \infty} φ (x, t) = \infty$ and $\vz(\cdo…