Some weighted Hardy-type inequalities on anisotropic Heisenberg groups.

Lian, Bao-Sheng; Yang, Qiao-Hua; Yang, Fen

Displaying similar documents to “Some weighted Hardy-type inequalities on anisotropic Heisenberg groups.”

Weighted Rellich inequality on $H$ -type groups and nonisotropic Heisenberg groups.

Jin, Yongyang, Han, Yazhou (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Some integral inequalities of Hardy type

B. Florkiewicz (1980)

Colloquium Mathematicae

Similarity:

Hardy-type inequalities related to degenerate elliptic differential operators

Lorenzo D’Ambrosio (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We prove some Hardy-type inequalities related to quasilinear second-order degenerate elliptic differential operators $L_{p} u : = - \nabla_{L}^{*} ({|\nabla_{L} u|}^{p - 2} \nabla_{L} u)$ . If $φ$ is a positive weight such that $- L_{p} φ \geq 0$ , 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.

Refined Hardy inequalities

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

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

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-Poincaré type inequalities derived from p-harmonic problems

Iwona Skrzypczak (2014)

Banach Center Publications

Similarity:

We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.