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arXiv · 1111.5075

Parametric Marcinkiewicz integrals on weighted Hardy and weak Hardy spaces

Hua Wang
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Abstract

Let $0<\rho<n$ and $\mu^{\rho}_{\Omega}$ 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 $\mu^{\rho}_\Omega$ on these spaces, under the Lipschitz condition imposed on the kernel $\Omega$.

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Hua Wang. 2011-11-22. Parametric Marcinkiewicz integrals on weighted Hardy and weak Hardy spaces. https://arxiv.org/abs/1111.5075

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