• Lin Tang

Articles written in Proceedings – Mathematical Sciences

• Boundedness for Marcinkiewicz Integrals Associated with Schr\"odinger Operators

Let $L=-\Delta +V$ be a Schr\"odinger operator, where 𝛥 is the Laplacian on $\mathbb{R}^n$, while nonnegative potential 𝑉 belongs to the reverse H\"older class. In this paper, we will show that Marcinkiewicz integral associated with Schr\"odinger operator is bounded on $BMO_L$, and from $H^1_L(\mathbb{R}^n)$ to $L^1(\mathbb{R}^n)$.

• BLO estimates for Marcinkiewicz integrals associated with Schrödinger operators

Let $L=-\Delta+V$ be a Schrödinger operator, where $\Delta$ is the Laplacian operator on $\mathbb{R}^{d}$ , while the nonnegative potential $V$ belongs to the reverse Hölder class $B_{q}(q\geq1)$. In this paper, we will show that Marcinkiewicz integrals associated with Schrödinger operator are bounded from ${\rm BMO}_{L}$ to ${\rm BLO}_{L}$, when $V\in B_{d}$

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019