Displaying similar documents to “Hardy-Poincaré type inequalities derived from p-harmonic problems”

Norm inequalities in weighted amalgam

Suket Kumar (2018)

Commentationes Mathematicae Universitatis Carolinae

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Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.

Refined Hardy inequalities

Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The aim of this article is to present “refined” Hardy-type inequalities. Those inequalities are generalisations of the usual Hardy inequalities, their additional feature being that they are invariant under oscillations: when applied to highly oscillatory functions, both sides of the refined inequality are of the same order of magnitude. The proof relies on paradifferential calculus and Besov spaces. It is also adapted to the case of the Heisenberg group.

Hardy-type inequalities related to degenerate elliptic differential operators

Lorenzo D’Ambrosio (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We prove some Hardy-type inequalities related to quasilinear second-order degenerate elliptic differential operators L p u : = - ∇ L * ( ∇ L u p - 2 ∇ L u ) . If φ is a positive weight such that - L p φ ≥ 0 , then the Hardy-type inequalityholds. We find an explicit value of the constant involved, which, in most cases, results optimal. As particular case we derive Hardy inequalities for subelliptic operators on Carnot Groups.