Parametrized Littlewood–Paley operators on Hardy and weak Hardy spaces |
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| Authors: | Yong Ding Shanzhen Lu Qingying Xue |
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| Affiliation: | Department of Mathematics, Beijing Normal University, Beijing, 100875, P. R. of China |
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| Abstract: | In this paper, we give the boundedness of the parametrized Littlewood–Paley function  on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that  is of weak type (1, 1) and of type (p, p) for 1 < p < 2, respectively. This results are substantial improvement and extension of some known results. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Parametrized Littlewood− Paley operators Hardy spaces weak Hardy spaces |
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