Displaying similar documents to “Hardy-type inequalities for Hermite expansions.”

Triebel-Lizorkin spaces for Hermite expansions

Jay Epperson (1995)

Studia Mathematica

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This paper develops some Littlewood-Paley theory for Hermite expansions. The main result is that certain analogues of Triebel-Lizorkin spaces are well-defined in the context of Hermite expansions.

On Hardy q -inequalities

Lech Maligranda, Ryskul Oinarov, Lars-Erik Persson (2014)

Czechoslovak Mathematical Journal

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Some q -analysis variants of Hardy type inequalities of the form ∫ 0 b x α - 1 ∫ 0 x t - α f ( t ) d q t p d q x ≤ C ∫ 0 b f p ( t ) d q t with sharp constant C are proved and discussed. A similar result with the Riemann-Liouville operator involved is also proved. Finally, it is pointed out that by using these techniques we can also obtain some new discrete Hardy and Copson type inequalities in the classical case.

Hardy-Poincaré type inequalities derived from p-harmonic problems

Iwona Skrzypczak (2014)

Banach Center Publications

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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.