Potential theory on trees, graphs and Ahlfors-regular metric spaces

DOI10.1007/s11118-013-9371-8zbMath1294.31004arXiv1010.4788OpenAlexW2035036392WikidataQ60141938 ScholiaQ60141938MaRDI QIDQ2509980

Richard Rochberg, Nicola Arcozzi, Brett D. Wick, Eric T. Sawyer

Publication date: 31 July 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4788

zbMATH Keywords

potential theorycapacityAhlfors-regular metric space

Mathematics Subject Classification ID

Discrete potential theory (31C20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potential theory on Riemannian manifolds and other spaces (31C12) Potential theory on fractals and metric spaces (31E05)

Related Items (16)

Dvoretzky-type theorem for Ahlfors regular spaces ⋮ Riesz capacities of a set due to Dobiński ⋮ BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ Approximate calculation of the defect of a Lipschitz cylindrical condenser ⋮ Two-weight dyadic Hardy inequalities ⋮ Carleson embedding on the tri-tree and on the tri-disc ⋮ Combinatorial property of all positive measures in dimensions 2 and 3 ⋮ Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels ⋮ Invariance of Capacity Under Quasisymmetric Maps of the Circle: An Easy Proof ⋮ Some remarks on the Dirichlet problem on infinite trees ⋮ Capacity of shrinking condensers in the plane ⋮ Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees ⋮ Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss ⋮ Geometric characterizations of embedding theorems: for Sobolev, Besov, and Triebel-Lizorkin spaces on spaces of homogeneous type -- via orthonormal wavelets ⋮ Essential differences of potential theories on a tree and on a bi-tree ⋮ Equilibrium measures on trees

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