• BLO estimates for Marcinkiewicz integrals associated with Schrödinger operators

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/129/05/0074

• Keywords

Marcinkiewicz integral; Schrödinger operator; BLO estimate

• Abstract

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 $V\in B_{d}$

• Author Affiliations

1. School of Applied Mathematics, Beijng Normal University Zhuhai, Zhuhai 519087, Guangdong, People’s Republic of China
2. LMAM, School of Mathematical Science, Peking University, Beijing 100871, People’s Republic of China

• Proceedings – Mathematical Sciences

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Volume 129 | Issue 5
November 2019

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Posted on July 25, 2019