The Boundedness of Hardy-Littlewood Maximal Operator Associated with ψ-rectangles

英文关键词:modified Hardy-Littlewood maximal operator, Lorentz space, variable exponent

中文摘要:

      

英文摘要:

      In this paper, the authors establish the boundedness of Hardy-Littlewood maximal operators Mψassociated with ψ-rectangles on weighted Lebesgue spaces and on two kinds of Lorentz spaces with variable exponent, as well as its corresponding Fefferman-Stein inequalities. All of these generalize the corresponding results in classical case.