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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-02
High Order Commutator of Marcinkiewicz Integrals with Rough Kernel Associated with Schrödinger Operators
Luna Tong, Kai Zhao
Published: March 30, 2018 | 111 62
DOI: 10.21276/sjpms.2018.5.2.6
Pages: 137-144
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Abstract
In this paper, by using the classical inequalities and properties of the Marcinkiewicz integrals operator, we establish the boundedness of the high order commutator of Marcinkiewicz integrals with rough kernel associated to Schrödinger operators on Lebesgue spaces. Keywords: Marcinkiewicz integral, rough kernel, Schrödinger operator, commutator, Lebesgue space.