Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (1): 26-37.

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Weighted Estimates for Parametric Marcinkiewicz Integrals and Its Commutators

Wu Ruimin1, Jiang Yinsheng2, Wang Lihong1, Gao Jinling1   

  1. 1. Office of Mathematics, Longqiao College of Lanzhou University of Finance and Economics, Lanzhou 730101;
    2. College of Mathematics and Systems Science, Xinjiang University, Wulumuqi 830046
  • Received:2016-05-18 Revised:2016-10-20 Online:2017-02-26 Published:2017-02-26
  • Supported by:

    Supported by the NSFC (10861010, 11161044)

Abstract:

In this paper, we obtain weighted Lp inequalities for Parametric Marcinkiewicz integrals by a class of new weight functions which conclude Muckenhoupt weight functions.

Key words: Parametric Marcinkiewicz integrals, Ap(φ) weight

CLC Number: 

  • O174.2
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