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Weighted boundedness of parametric Marcinkiewicz integral and higher order commutator |
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| Authors: | Xinfeng Shi Yinsheng Jiang |
| Institution: | (1) College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China |
| Abstract: | In this paper, the weighted boundedness of parametric Marcinkiewicz integral and its commutator with rough kernels are considered. In addition, the weak type norm inequalities for parametric Marcinkiewicz integral and its commutator with different weight functions and Dini kernel are also discussed. |
| Keywords: | parametric marcinkiewicz integral commutator Ap weight rough kernel Young function Dini condition |
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