Boundedness of Marcinkiewicz integrals and their commutators in H 1 (ℝ n × ℝ m ) |
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| Authors: | Dachun Yang Yuan Zhou |
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| Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
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| Abstract: | The authors establish the boundedness of Marcinkiewicz integrals from the Hardy space H 1 (? n × ? m ) to the Lebesgue space L 1(? n × ? m ) and their commutators with Lipschitz functions from the Hardy space H 1 (? n × ? m ) to the Lebesgue space L q (? n × ? m ) for some q > 1. |
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