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Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces |
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| Authors: | Shanzhen Lu Lifang Xu |
| Institution: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China |
| Abstract: | In this paper, the authors study the boundedness of the operator μΩ,b], the commutator generated by a functionb∈Lip β (ℝ n )(0<β≤1) and the Marcinkiewicz integrals \gm\gW, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈Lipα(S n−1)(0<≤1). Supported by the National 973 Project (G.19990751) and the SEDF (20010027002). |
| Keywords: | Marcinkiewicz integral commutator Lipschitz space Hardy space Herz space atom SPACES TYPE HARDY INTEGRALS RELATED COMMUTATORS Hardy spaces case integrals commutator function study boundedness operator paper |
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