The paper establishes sharp chord Sobolev inequalities that complete the class with prior fractional Sobolev inequalities and link to chord isoperimetric inequalities through functional chord power integrals.
Aubin,Nonlinear Analysis on manifolds: Monge-Amp´ ere equations, Springer, Berlin
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Chord Sobolev inequalities
The paper establishes sharp chord Sobolev inequalities that complete the class with prior fractional Sobolev inequalities and link to chord isoperimetric inequalities through functional chord power integrals.