Parametrized LittlewoodβPaley operators
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Yong Ding; Shanzhen Lu; Qingying Xue
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Article
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2007
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John Wiley and Sons
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English
β 198 KB
## Abstract In this paper, we give the boundedness of the parametrized LittlewoodβPaley function $ \mu ^{\*,\rho}\_{\lambda} $ on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that $ \mu ^{\*,\rho}\_{\lambda} $ is of weak type (1, 1) and of type (__p__, _