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

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/124/02/0193-0203

• # Keywords

Marcinkiewicz integral; Schr\"odinger operator.

• # Abstract

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 $L^1(\mathbb{R}^n)$.

• # Author Affiliations

1. School of Applied Mathematics, Beijing Normal University Zhuhai, Zhuhai 519085, People’s Republic of China
2. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019