Liang Song

activity

20112026

most citedBoundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity

15 citations · 32 across the 21 of their papers we have counts for

collaborators

Showing math.CAShow all

5 papers · 1 filter

math.CA2023

The Garnett-Jones Theorem on BMO spaces associated with operators and applications

Peng Chen, Xuan Thinh Duong, Ji Li +2

Let $X$ be a metric space with doubling measure, and $L$ be a nonnegative self-adjoint operator on $L^{2} (X)$ whose heat kernel satisfies the Gaussian upper bound. Let $f$ be in the…

math.CA2021

The CMO-Dirichlet problem for the Schrödinger equation in the upper half-space and characterizations of CMO

Liang Song, Liangchuan Wu

Let $L$ be a Schrödinger operator of the form $L = - Δ + V$ acting on $L^{2} (R^{n})$ where the nonnegative potential $V$ belongs to the reverse Hölder class ${RH…

math.CA2020★ 1 cited

$L^{p} (R^{2})$ -boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients

Naijia Liu, Liang Song, Haixia Yu

In this paper, for general plane curves $γ$ satisfying some suitable smoothness and curvature conditions, we obtain the single annulus $L^{p} (R^{2})$ -boundedness of the Hilber…

math.CA2017

Weighted inequalities of bilinear rough singular integrals

Peng Chen, Danqing He, Liang Song

We establish a quantitative weighted inequality for the bilinear rough singular integral, where the bound is controlled by the cube of the weight constant.

math.CA2012

The bilinear Bochner-Riesz problem

Frederic Bernicot, Loukas Grafakos, Liang Song +1

Motivated by the problem of spherical summability of products of Fourier series, we study the boundedness of the bilinear Bochner-Riesz multipliers $(1 - ∣ ξ ∣^{2} - ∣ η ∣^{2})_{+}^{δ}$ and we mak…

The Garnett-Jones Theorem on BMO spaces associated with operators and applications

The CMO-Dirichlet problem for the Schrödinger equation in the upper half-space and characterizations of CMO

Lp(R2)-boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients

Weighted inequalities of bilinear rough singular integrals

The bilinear Bochner-Riesz problem

$L^{p} (R^{2})$ -boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients