Harmonic calculus on fractals—A measure geometric approach II

DOI10.1090/S0002-9947-05-03854-7zbMath1071.28008OpenAlexW4242454704MaRDI QIDQ4679374

Martina Zähle

Publication date: 30 May 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03854-7

zbMATH Keywords

potentialBesov spacespectral analysisspectral dimensionpseudodifferential operatorfractal measurefractal set

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractals (28A80) Pseudodifferential operators (47G30)

Related Items (20)

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Cites Work

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• Potential theory on the Sierpinski gasket
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• Dirichlet forms and symmetric Markov processes
• Harmonic calculus on fractals -- a measure geometric approach. I
• Taylor approximations on Sierpinski gasket type fractals
• Fractal measures and mean \(p\)-variations
• Remarks on measure-valued Lagrangians on homogeneous spaces
• Semilinear PDEs on self-similar fractals
• Riesz potentials and Liouville operators on fractals
• Nonlinear elliptical equations on the Sierpiński gasket
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Besov Spaces on Closed Subsets of ℝ n
• Sierpiński gasket as a Martin boundary. I: Martin kernels

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