Boundedness of Marcinkiewicz integrals and their commutators in H1 (?n × ?m) |
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| Authors: | Yang Dachun and Zhou Yuan |
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| Institution: | (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 (ℝ
n
× ℝ
m
) to the Lebesgue space L
1(ℝ
n
× ℝ
m
) and their commutators with Lipschitz functions from the Hardy space H
1 (ℝ
n
× ℝ
m
) to the Lebesgue space L
q
(ℝ
n
× ℝ
m
) for some q > 1. |
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| Keywords: | Marcinkiewicz integral commutator Lipschitz function atom Hardy space Lebesgue space boundedness |
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