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Boundedness of parammetric Marcinkiewicz integrals on weighted hardy spaces

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Abstract

In this paper, several new results on the boundedness of parammetric Marcinkiewicz integrals on the weighted Hardy spaces and the weak weighted Hardy spaces are established.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), Hunan Normal University, Changsha, 410081, China

    Xian-liang Shi & Jie Sun

Authors
  1. Xian-liang Shi
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  2. Jie Sun
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Correspondence to Xian-liang Shi.

Additional information

Supported by the National Natural Science Foundation of China (11071065 and 11171306).

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Shi, Xl., Sun, J. Boundedness of parammetric Marcinkiewicz integrals on weighted hardy spaces. Appl. Math. J. Chin. Univ. 30, 253–262 (2015). https://doi.org/10.1007/s11766-015-3329-0

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  • DOI: https://doi.org/10.1007/s11766-015-3329-0

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