Best remainder norms in Sobolev-Hardy inequalities
Andrea CianchiAdele Ferone
46E3546E30Hardy inequalitySobolev spacesLorentz spacesremainder termssymmetrizationrearrangement invariant spaces
We exhibit the optimal norm for a remainder term in the sharp Sobolev inequality involving a Lorentz norm, and in the equivalent classical Hardy inequality. Limiting cases of the relevant inequalities are also considered.
Indiana University Mathematics Journal
2009
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10.1512/iumj.2009.58.3561
10.1512/iumj.2009.58.3561
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Indiana Univ. Math. J. 58 (2009) 1051 - 1096
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