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arXiv · 2204.04331

The boundedness of Fractional Hardy-Littlewood maximal operator on variable lp(Z) spaces using Calderon-Zygmund decomposition

Sri Sakti Swarup Anupindi·A. Michael Alphonse
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Abstract

In this paper, we prove strong type, weak type inequalities of Hardy-Littlewood maximal operator and fractional Hardy-Littlewood maximal operator on variable sequence spaces lp(Z). This is achieved using Calderon-Zygmund decomposition for sequences, properties of modular functional and Log Holder continuity.

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Sri Sakti Swarup Anupindi, A. Michael Alphonse. 2022-04-09. The boundedness of Fractional Hardy-Littlewood maximal operator on variable lp(Z) spaces using Calderon-Zygmund decomposition. https://arxiv.org/abs/2204.04331

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