Function spaces on local fields

DOI10.1007/s11425-005-0033-1zbMath1113.46069OpenAlexW1492377410MaRDI QIDQ854632

Qiang Xu, Wei Yi Su

Publication date: 6 December 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-005-0033-1

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Related Items (7)

\(p\)-adic Laplacian in local fields ⋮ The \(p\)-adic differentiability of a class of Weierstrass type functions in local fields ⋮ Distributional dimension of fractal sets in local fields ⋮ Gibbs–Butzer derivatives overp-adic fields ⋮ Lipschitz classes on local fields ⋮ \(p\)-adic fractional pseudodifferential equations and Sobolev type spaces over \(p\)-adic fields ⋮ Chains of function spaces over Euclidian spaces and local fields

Cites Work

• Pseudo-differential operators and derivatives on locally compact Vilenkin groups
• The derivatives and integrals of fractional order on \(a\)-adic groups
• Gibbs-Butzer differential operators on locally compact Vilenkin groups
• Fourier Analysis on Local Fields. (MN-15)
• Gibbs–butzer derivatives and their applications¹
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