Some Notes on Function Spaces and Dirichlet Forms on Self-Similar Sets

DOI10.1515/ANS-2006-0302zbMath1126.60064OpenAlexW2507160370MaRDI QIDQ3594341

Yuan Liu, Zhiying Wen

Publication date: 7 August 2007

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2006-0302

zbMATH Keywords

effective resistanceself-similar Dirichlet formsub-Gaussian heat kernel

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Fractals (28A80) Transition functions, generators and resolvents (60J35)

Cites Work

• Unnamed Item
• Construction of diffusion processes on fractals, \(d\)-sets, and general metric measure spaces
• Dirichlet forms on fractals: Poincaré constant and resistance
• Harmonic analysis for resistance forms.
• Brownian motion on fractals and function spaces

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