Analytic capacity and differentiability properties of finely harmonic functions

DOI10.1007/BF02392352zbMath0527.31001OpenAlexW1992269545WikidataQ56568106 ScholiaQ56568106MaRDI QIDQ786275

Alexander M. Davie, Bernt Øksendal

Publication date: 1982

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392352

zbMATH Keywords

differentiability propertiesanalytic capacityalpha-capacityfinely harmonic functions

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items

The planar Cantor sets of zero analytic capacity and the local 𝑇(𝑏)-Theorem ⋮ Painlevé's problem and the semiadditivity of analytic capacity. ⋮ The \(Tb\)-theorem on non-homogeneous spaces. ⋮ The generalized Wold decomposition for subnormal operators ⋮ Finely holomorphic functions and finely harmonic morphisms ⋮ Capacities associated with Calderón-Zygmund kernels ⋮ Comparison Between Analytic Capacity and the Buffon Needle Probability ⋮ Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group ⋮ Finely harmonic morphisms, Brownian path preserving functions and conformal martingales

Cites Work

• Unnamed Item
• A theorem in fine potential theory and applications to finely holomorphic functions
• Fine differentiability of Riesz potentials
• Analytic capacity and rational approximation

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