Hua Wang
Abstract
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Let 0 < < n and be the parametric Marcinkiewicz integral. In this paper, by using the atomic decomposition theory of weighted Hardy and weak Hardy spaces, we will obtain the boundedness properties of on these spaces, under the Lipschitz condition imposed on the kernel .
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Let 0 < < n and be the parametric Marcinkiewicz integral. In this paper, by using the atomic decomposition theory of weighted Hardy and weak Hardy spaces, we will obtain the boundedness properties of on these spaces, under the Lipschitz condition imposed on the kernel .
Key concepts: Mathematics, Hardy space, Parametric statistics, Pure mathematics, Mathematical analysis, Statistics