Examples on Harmonic Measure and Normal Numbers

DOI10.2307/2044514zbMath0582.31008OpenAlexW4233690779MaRDI QIDQ3705681

Jang-Mei G. Wu

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044514

zbMATH Keywords

capacityharmonic measureHausdorff measurequasismooth curve\(BMO_ 1\) surface

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) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• Distortion of the boundary under conformal mapping
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• On singularity of harmonic measure in space
• Brownian motion and sets of harmonic measure zero
• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• A Further Example on Scales of Hausdorff Functions

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