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

DOI10.4134/CKMS.2010.25.1.027zbMath1225.11157OpenAlexW2073827627MaRDI QIDQ3085466

Yong-Cheol Kim

Publication date: 31 March 2011

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/ckms.2010.25.1.027

zbMATH Keywords

Sobolev embedding theorem\(p\)-adic vector spacethe \(p\)-adic Riesz and Bessel potential

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (10)

Sobolev spaces on metrizable groups ⋮ \(p\)-adic Riesz potential and its commutators on Morrey-Herz spaces ⋮ The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity ⋮ A second look of Sobolev spaces on metrizable groups ⋮ Sobolev spaces on locally compact abelian groups: compact embeddings and local spaces ⋮ Hardy-Littlewood-Sobolev inequalities on \(p\)-adic central Morrey spaces ⋮ Commutator of Riesz potential in \(p\)-adic generalized Morrey spaces ⋮ Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces ⋮ \(p\)-adic singular integrals and their commutators in generalized Morrey spaces ⋮ Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels

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