Optimal Sobolev imbeddings

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WEIGHTED INEQUALITIES INVOLVING TWO HARDY OPERATORS WITH APPLICATIONS TO EMBEDDINGS OF FUNCTION SPACES (2008, background): “For example, they play an important role in the problem of characterization of the optimal partner norms in Sobolev-type embeddings [17], [20], [2], in the duality problem for classical Lorentz spaces of type Γ [25], in the investigation of the boundedness of maximal Calderón-Zygmund singular integr”
Higher-order Sobolev embeddings and isoperimetric inequalities (2013, methodology): “Note that the proof is given in [53] for Lipschitz domains, and with the space WX(Ω) in the place of V X(Ω).”