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

2019/11/21 by Sarfraz, Naqash, Gurbuz, Ferit
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1911.09392

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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