Conductive Homogeneity of Compact Metric Spaces and Construction of 𝑝-Energy

DOI10.4171/MEMS/5zbMath1530.46001arXiv2109.08335MaRDI QIDQ6172568

Jun Kigami

Publication date: 19 July 2023

Published in: Memoirs of the European Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.08335

zbMATH Keywords

Sobolev spacesmetric spacesself-similar sets\(p\)-energyanalysis on fractalsconductive homogeneity

Mathematics Subject Classification ID

Dirichlet forms (31C25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Fractals (28A80) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05) Quasiconformal mappings in metric spaces (30L10) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (2)

\(p\)-energies on p.c.f. self-similar sets ⋮ Construction of 𝑝-energy and associated energy measures on Sierpiński carpets

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