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arXiv:1712.09173 [math.AP]AbstractReferencesReviewsResources

On the boundary terms in Hardy's inequalities for $W^{1,p}$ functions

Ahmed A. Abdelhakim

Published 2017-12-26Version 1

With the help of a radially symmetric vector field,, we derive inequalities of the Hardy kind, with no remainder terms, for $W^{1,p}$ functions on bounded star domains. Our results are not obtainable from the classical inequalities for $W^{1,p}_{0}$ functions.

Comments: Proof of Lemma 2 and more applications of Theorems 3 and 4 are to be added
Categories: math.AP
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