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A remark on the centered n-dimensional Hardy-Littlewood maximal function
Authors:J. M. Aldaz
Affiliation:(1) Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain;(2) Present address: Departamento de Matemáticas y Computación, Universidad de la Rioja, 26004 Logroño, La Rioja, Spain
Abstract:We study the behaviour of the n-dimensional centered Hardy-Littlewood maximal operator associated to the family of cubes with sides parallel to the axes, improving the previously known lower bounds for the best constants cn that appear in the weak type (1,1) inequalities.
Keywords:Hardy-Littlewood maximal function
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