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

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    • 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


      Wenhua Gao1 Lin Tang2

      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
    • Dates

  • Proceedings – Mathematical Sciences | News

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