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A SIMPLE PROOF OF THE p-ADIC VERSION OF THE SOBOLEV EMBEDDING THEOREM

  • Kim, Yong-Cheol (Department of Mathematics Education, Korea University)
  • Published : 2010.01.31

Abstract

We give a simple proof of certain mapping properties of the p-adic Riesz potential and Bessel potential, and the p-adic version of the Sobolev embedding theorem obtained in [6].

Keywords

p-adic vector space;the p-adic Riesz and Bessel potential;Sobolev embedding theorem

References

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Cited by

  1. Hardy-Littlewood-Sobolev Inequalities onp-Adic Central Morrey Spaces vol.2015, 2015, https://doi.org/10.1155/2015/419532
  2. Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces vol.2014, 2014, https://doi.org/10.1155/2014/404738
  3. Commutator of Riesz potential in p-adic generalized Morrey spaces vol.13, pp.3, 2018, https://doi.org/10.1007/s11464-018-0696-x