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Boundedness for Hardy-Littlewood Maximal Operator and Hilbert Transform in Weighted Grand L ∞ Space

GAO Hongya, Cui Yi and Liang Shuang

In this paper we obtain boundedness results for Hardy-Littlewood maximal operator and Hilbert transform in weighted grand L∞ space L ∞) w (Ω) with the weight w ∈ A∞.