Fractional Differentiation and Lipschitz Spaces on Local Fields

DOI10.2307/1998287zbMath0433.43007OpenAlexW4235162749MaRDI QIDQ3871361

C. W. Onneweer

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998287

zbMATH Keywords

local fieldsfractional derivativesBessel potential spacesgeneralized Lipschitz spaces

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Abstract differentiation theory, differentiation of set functions (28A15) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (5)

On the characterization of the dyadic derivative ⋮ \(p\)-adic Laplacian in local fields ⋮ Riesz type kernels over the ring of integers of a local field ⋮ Modified dyadic integral and fractional derivative on \(\mathbb R_{+}\) ⋮ Unnamed Item

Cites Work

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• Harmonic analysis on \(n\)-dimensional vector spaces over local fields. I: Basic results on fractional integration
• On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
• Harmonic analysis on \(n\)-dimensional vector spaces over local fields. II: Generalized Gauss kernels and the Littlewood-Paley function
• On the definition of dyadic differentiation
• Fourier Analysis on Local Fields. (MN-15)
• On a Concept of a Derivative Among Functions Defined on the Dyadic Field
• Walsh-fourier series and the concept of a derivative^†

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