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arXiv · 1911.09392

Weak And Strong Boundedness For P-adic Fractional Hausdorff Operator And Its Commutator

Naqash Sarfraz·Ferit Gurbuz
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Abstract

In this paper, boundedness of Hausdorff operator on weak central Morrey space is obtained. Furthermore, we investigate the weak bounds of p- adic fractional Hausdorff Operator on weighted p-adic weak Lebesgue Space. We also obtain the sufficient condition of commutators of p-adic fractional Hausdorff Operator by taking symbol function from Lipschitz space. Moreover, strong type estimates for fractional Hausdorff Operator and its commutator on weighted p-adic Lorentz space are also acquired.

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Naqash Sarfraz, Ferit Gurbuz. 2019-11-21. Weak And Strong Boundedness For P-adic Fractional Hausdorff Operator And Its Commutator. https://arxiv.org/abs/1911.09392

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