Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater.

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Elsevier

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Abstract

We characterize the pairs of weights such that the geometric mean operator , defined for positive functions f on by verifies the weak type inequality in the case . Similar results are obtained for the n-dimensional geometric mean operator defined by

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Política de acceso abierto tomada de: https://beta.sherpa.ac.uk/id/publication/11377

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Pedro Ortega Salvador, Consuelo Ramírez Torreblanca, Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater, Journal of Mathematical Analysis and Applications, Volume 336, Issue 1, 2007, Pages 593-607, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2007.03.011

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Except where otherwised noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional