Mathematica Eterna
Open Access

Abstract

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∞.