Results 221 to 230 of about 2,489 (256)

Hardy inequality and trace Hardy inequality for Dunkl gradient

Collectanea Mathematica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anoop, V. P., Parui, Sanjay
exaly   +2 more sources

A Generalization of the Hardy Inequality

Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nazarov, A. I., Ustinov, N. S.
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Characterizations for the Hardy Inequality

2009
Necessary and sufficient conditions for the validity of a multidimensional version of the Hardy inequality are discussed. A characterization through a boundary Poincare inequality is considered.
Juha Kinnunen, Riikka Korte
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On the Discrete Hardy Inequality

Bulletin of the London Mathematical Society, 1994
Necessary and sufficient conditions for the boundedness of the discrete Hardy's operator of the form \(Pf(n)= \sum^ n_{k=1} f(k)\), from \(l^ p_ v\) to \(l^ q_ u\) when \(0< q< 1 ...
Braverman, Michael Sh., Stepanov, Vladimir D.   +1 more
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On Hardy—Type Inequalities

Mathematische Nachrichten, 1998
AbstractWe show that certain Hardy‐ type inequalities hold in plump domains and domains with a Whitney cube #‐condition.
Edmunds, D. E., Hurri-Syrjänen, R.
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Hardy’s inequality on Hardy–Morrey spaces

Georgian Mathematical Journal, 2017
Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.
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Inequalities Complimentary to Hardy

The Quarterly Journal of Mathematics, 1998
This is again a very impressive and extensive paper of the author. Because of the abundance of the results it is not possible to recall or only illustrate all of them here. I gladly suggeste to read the whole paper. Among others two general inequalities are proved concerning matrix transformations of the \(\ell^p\)-spaces. The first theorem states that
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A Note on Hardy's Inequality

Canadian Mathematical Bulletin, 1993
AbstractWe prove a two-sided version of Hardy's inequality by methods arising from the proof of the Littlewood conjecture.
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On An Inequality of Hardy and Littlewood

Journal of the London Mathematical Society, 1938
Let \(a, b, c\) be real, \(p, q, r\) not less than one, \(p', q', r'\) their conjugates \((1/p +1/p'=1, \dots)\), \(f(x)\), \(g(x)\), \(h(x)\) measurable and \(\geq 0\) in \((0, \infty)\), \[ F^p=\int_0^\infty f^p\,dx,\quad G^q=\int_0^\infty g^q\,dx,\quad H^{r'}=\int_0^\infty h^{r'}\,dx, \] \[ I = \iint_0^\infty f(x)g(y)h(x+y)x^{-a} y^{-b}(x+y)^{-c ...
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ON EXTENSIONS OF HARDY'S INEQUALITIES

Communications in Contemporary Mathematics, 2005
We study possible extensions of Hardy's inequalities induced by second, fourth and sixth-order linear differential operators with singular potentials.
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