The \(p\)-adic differentiability of a class of Weierstrass type functions in local fields

DOI10.1016/J.NA.2011.07.069zbMath1306.11095OpenAlexW1998303692MaRDI QIDQ644176

Yin Li, Bo Wu

Publication date: 3 November 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.069

zbMATH Keywords

local field\(p\)-adic derivativeWeierstrass type function

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Fractals (28A80) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• Function spaces on local fields
• Pseudo-differential operators and derivatives on locally compact Vilenkin groups
• Gibbs-Butzer differential operators on locally compact Vilenkin groups
• Lipschitz classes on local fields
• THE CONNECTION BETWEEN THE ORDERS OF p-ADIC CALCULUS AND THE DIMENSIONS OF THE WEIERSTRASS TYPE FUNCTION IN LOCAL FIELDS
• Fourier Analysis on Local Fields. (MN-15)
• Weierstrass functions in Zygmund’s class
• Gibbs–butzer derivatives and their applications¹

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