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Boundedness of Marcinkiewicz integrals and their commutators in H 1 (ℝn × ℝm)

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Abstract

The authors establish the boundedness of Marcinkiewicz integrals from the Hardy space H 1 (ℝn × ℝm) to the Lebesgue space L 1(ℝn × ℝm) and their commutators with Lipschitz functions from the Hardy space H 1 (ℝn × ℝm) to the Lebesgue space L q(ℝn × ℝm) for some q > 1.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Yang Dachun & Zhou Yuan

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  1. Yang Dachun
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  2. Zhou Yuan
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Correspondence to Yang Dachun.

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Yang, D., Zhou, Y. Boundedness of Marcinkiewicz integrals and their commutators in H 1 (ℝn × ℝm). SCI CHINA SER A 49, 770–790 (2006). https://doi.org/10.1007/s11425-006-0770-9

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  • DOI: https://doi.org/10.1007/s11425-006-0770-9

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