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Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

Published 20 Apr 2021 in math.CA, math.AP, and math.FA | (2104.09867v2)

Abstract: In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving $\lvert u\rvert_{W{s,p}}$, we establish alternative estimates where the strong $Lp$ norms are replaced by Lorentz norms.

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