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
Bibliographic citation
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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