Parametric Marcinkiewicz integrals on weighted Hardy and weak Hardy spaces

Let $0<ρ<n$ and $μ^ρ_Ω$ 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 $μ^ρ_Ω$ on these spaces, under the Lipschitz condition imposed on the kernel $Ω$.

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