Discrete characterisations of Lipschitz spaces on fractals

DOI10.1002/mana.200610720zbMath1168.46017OpenAlexW2125202883MaRDI QIDQ3606000

Mats Bodin

Publication date: 25 February 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610720

zbMATH Keywords

triangulationsfractalsLipschitz spacesfunction spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (8)

A trace theorem for Dirichlet forms on fractals ⋮ Characterization of Besov spaces on nested fractals by piecewise harmonic functions ⋮ Construction of 𝑝-energy and associated energy measures on Sierpiński carpets ⋮ Convergence of \(p\)-energy gorms on homogeneous p.c.f self-similar sets ⋮ Dirichlet forms and convergence of Besov norms on self-similar sets ⋮ Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by \(d\)-sets ⋮ Characterization of nonlinear Besov spaces ⋮ Dirichlet forms and critical exponents on fractals

Cites Work

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• A trace theorem for Dirichlet forms on fractals
• Piecewise linear wavelets on Sierpinski gasket type fractals
• Piecewise linear bases and Besov spaces on fractal sets
• Function spaces on fractals
• Energy form on a closed fractal curve
• Brownian motion penetrating fractals. An application of the trace theorem of Besov spaces
• Brownian motion on fractals and function spaces
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Some function spaces related to the brownian motion on simple nested fractals
• An interface problem for a Sierpinski and a Vicsek fractal

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