Distributional dimension of fractal sets in local fields

DOI10.1007/s10114-007-1015-8zbMath1176.28006OpenAlexW2141900590MaRDI QIDQ928246

Wei Yi Su, Hua Qiu

Publication date: 11 June 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-1015-8

zbMATH Keywords

Hausdorff dimensionFourier dimensionlocal field\(B\)-type space\(F\)-type spacedistributional dimension

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (p)-adic theory, local fields (11F85) Fractals (28A80) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (5)

\(p\)-adic Laplacian in local fields ⋮ Gibbs–Butzer derivatives overp-adic fields ⋮ On Hausdorff dimension of certain Riesz product in local fields ⋮ FRACTAL SETS IN THE FIELD OF p-ADIC ANALOGUE OF THE COMPLEX NUMBERS ⋮ Chains of function spaces over Euclidian spaces and local fields

Cites Work

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• Some applications of Besov spaces on fractals
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• Homogeneous Besov spaces on locally compact Vilenkin groups

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