Hardy inequality and trace Hardy inequality for Dunkl gradient

Anoop, V. P.; Parui, Sanjay

doi:10.1007/s13348-018-0235-9

Collect. Math.

2018

DOI: 10.1007/s13348-018-0235-9

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Hardy inequality and trace Hardy inequality for Dunkl gradient

V. P. Anoop

Sanjay Parui

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2022

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L^pHardy's identities and inequalities for Dunkl operators

Wang

2022

Advanced Nonlinear Studies

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The main purpose of this article is to establish the L p {L}^{p} Hardy’s identities and inequalities for Dunkl operator on any finite balls and the entire space R N {{\mathbb{R}}}^{N} . We also prove Hardy’s identities and inequalities on certain domains with distance function to the boundary ∂ Ω \partial \Omega . In particular, we use the notion of Bessel pairs introduced in Ghoussoub and Moradifam to extend Hardy’s identities for the classical gradients obtained by Lam et al., Duy et al., Flynn et al. to Dunkl gradients introduced by Dunkl. Our Hardy’s identities with explicit Bessel pairs significantly improve many existing Hardy’s inequalities for Dunkl operators.

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L^pHardy's identities and inequalities for Dunkl operators

Wang

2022

Advanced Nonlinear Studies

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show abstract

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Hardy inequality and trace Hardy inequality for Dunkl gradient

Cited by 1 publication

References 21 publications

L^pHardy's identities and inequalities for Dunkl operators

L^pHardy's identities and inequalities for Dunkl operators

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Hardy inequality and trace Hardy inequality for Dunkl gradient

Cited by 1 publication

References 21 publications

LpHardy's identities and inequalities for Dunkl operators

LpHardy's identities and inequalities for Dunkl operators

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L^pHardy's identities and inequalities for Dunkl operators

L^pHardy's identities and inequalities for Dunkl operators