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Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces for radial functions

  • Arka Mallick,
  • Hoai-Minh Nguyen

摘要

We extend the range of parameters associated with the Gagliardo–Nirenberg interpolation inequalities in the fractional Coulomb–Sobolev spaces for radial functions. We also study the optimality of this newly extended range of parameters.