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Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater
Authors:Pedro Ortega Salvador,Consuelo Ramí  rez Torreblanca
Affiliation:Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
Abstract:We characterize the pairs of weights (u,v) such that the geometric mean operator G1, defined for positive functions f on (0,∞) by
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Keywords:Weights   Weighted inequalities   Weak type inequalities   Hardy operators   Modified Hardy operators   Geometric mean operator
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