Orlicz norm and Sobolev-Orlicz capacity on ends of tree based on probabilistic Bessel kernels

DOI10.1134/S2070046615010033zbMath1341.46023OpenAlexW2014647500MaRDI QIDQ2515295

Yanyan Li

Publication date: 31 July 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046615010033

zbMATH Keywords

Sobolev spacecapacityOrlicz normends of tree

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45)

Related Items (1)

\(p\)-adic mathematical physics: the first 30 years

Cites Work

• Transitions on a noncompact Cantor set and random walks on its defining tree
• Dirichlet forms and symmetric Markov processes.
• Random walks, capacity and percolation on trees
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• Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees
• Removal of potential theoretic exceptional set on the field of \(p\)-adic numbers
• \((r, p)\)-capacity and Hausdorff measure on a local field
• A Dirichlet space on ends of tree and Dirichlet forms with a nodewise orthogonal property
• Boundary properties of functions with finite Dirichlet integrals
• On null sets of Sobolev-Orlicz capacities
• Jump processes on leaves of multibranching trees
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