Some higher order Hardy inequalities
Alois KufnerDepartment of Engineering Sciences and Mathematics, Lule University of Technology, SE-97187 Lule, SwedenKomil KulievDepartment of Engineering Sciences and Mathematics, Lule University of Technology, SE-97187 Lule, SwedenLars‐Erik PerssonDepartment of Engineering Sciences and Mathematics, Lule University of Technology, SE-97187 Lule, Sweden
2012en
ABI
Аннотация
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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