\((r, p)\)-capacity and Hausdorff measure on a local field

DOI10.1016/S0019-3577(06)80020-0zbMath1114.60007MaRDI QIDQ2503002

Hiroshi Kaneko

Publication date: 13 September 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

stochastic process\(p\)-adic fieldWolff's inequalityWhitney decomposition theorem

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Probability theory on algebraic and topological structures (60B99)

Related Items (2)

Fractal theoretic aspects of local field ⋮ Orlicz norm and Sobolev-Orlicz capacity on ends of tree based on probabilistic Bessel kernels

Cites Work

• On (r,p)-capacities for Markov processes
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• \(p\)-adic dynamical systems
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• Trace formula for \(p\)-adics
• Asymptotics and spectral results for random walks on \(p\)-adics
• Local properties of Lévy processes on a totally disconnected group
• Hausdorff measure for a stable-like process over an infinite extension of a local field
• Measure-valued branching processes associated with random walks on \(p\)-adics.
• A class of spatially inhomogeneous Dirichlet spaces on the \(p\)-adic number field.
• Towards an \(L^p\)-potential theory for sub-Markovian semigroups: variational inequalities and balayage theory
• Markov properties of multiparameter processes and capacities
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• Function theory
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• Extension of measures to infinite dimensional spaces over \(p\)-adic field.
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