Improved Hardy-Sobolev inequalities

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dc.creatorBalinsky, A.
dc.creatorEvans, W. D.
dc.creatorHundertmark, D.
dc.creatorLewis, R. T.
dc.date2007-10-21
dc.date.accessioned2026-07-07T08:37:40Z
dc.date.available2026-07-07T08:37:40Z
dc.descriptionThe main result includes features of a Hardy-type inequality and an inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the method of proof of a recent improved Sobolev inequality derived by M. Ledoux which brings out the connection between Sobolev embeddings and heat kernel bounds. Here Ledoux's technique is applied to the operator $L:= {\bf{x}} \cdot \nabla$ and the analysis requires the determination of the operator semigroup $\{e^{-tL^{*}L}\}_{t>0}$ and its properties.
dc.identifierhttps://arxiv.org/abs/0710.3936
dc.identifierhttp://arxiv.org/abs/0710.3936
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140477
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.titleImproved Hardy-Sobolev inequalities
dc.typetext

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