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Hardy-Littlewood maximal operator on L^p(x) (ℝ)
We consider Hardy-Littlewood maximal operator on the general Lebesgue space L p(x) (R n ) with variable exponent.A sufficient condition on the function p is known for the boundedness of the maximal operator on L p(x) (Ω) with an open bounded Ω .Our main aim is to find an additional …