Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
Haïm Brezis,
Jean Van Schaftingen,
Po-Lam Yung
Abstract:In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving |u| W s,p , we establish alternative estimates where the strong L p norms are replaced by Lorentz norms.
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