Wenhua Gao
Articles written in Proceedings – Mathematical Sciences
Volume 124 Issue 2 May 2014 pp 193-203
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 $L^1(\mathbb{R}^n)$.
Volume 129 Issue 5 November 2019 Article ID 0074 Research Article
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 $V\in B_{d}$
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Volume 129 | Issue 5
November 2019
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