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Some higher order Hardy inequalities

Alois KufnerDepartment of Mathematics, University of West Bohemia, 14 Plzeň, Czech RepublicKomil KulievDepartment of Engineering Sciences and Mathematics, Lule University of Technology, SE-97187 Lule, SwedenLars‐Erik PerssonNarvik University College, Narvik, Norway

2012en

ABI

Annotatsiya

Abstract We investigate the k -th order Hardy inequality (1.1) for functions satisfying rather general boundary conditions (1.2), show which of these conditions are admissible and derive sufficient, and necessary and sufficient, conditions (for 0 < q < ∞, p > 1) on u , v for (1.1) to hold.

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DOI: 10.1186/1029-242x-2012-69

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