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Chen, D.X. and Jin, F. (2014) The Boundedness of Marcinkiewicz Integrals Associated with Schrödinger Operator on Morrey Spaces. Journal of Function Spaces, 2014, Article 901267.
https://doi.org/10.1155/2014/901267

has been cited by the following article:

• TITLE: Weighted Estimates for Marcinkiewicz Integral Operator Associated with Schrödinger Operator and Its Commutator on Generalized Fractional Morrey Spaces

  AUTHORS: Yiyuan Wang

  KEYWORDS: Marcinkiewicz Integral, Schrödinger Operator, Generalize Fractional Morrey Space, Weighted Boundedness, Commutator

  JOURNAL NAME: Applied Mathematics, Vol.16 No.6, June 24, 2025

  ABSTRACT: The aim of this paper is to investigate the boundedness of a Marcinkiewicz integral operator μ j ℒ associated with Schrödinger operator and its commutator on weighted generalized fractional Morrey spaces L p,η,φ ( ℝ n ,ω ) . Under assumption that the function φ satisfies doubling conditions, the author proves that the μ j ℒ is bounded on spaces L p,η,φ ( ℝ n ,ω ) , where 0<η< n m , n mη