On singularity of harmonic measure in space

DOI10.2140/pjm.1986.121.485zbMath0594.31016OpenAlexW2077388478MaRDI QIDQ1076853

Jang-Mei G. Wu

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.121.485

zbMATH Keywords

harmonic measuremeasureHausdorff measureconstruction of sets with harmonicpositive harmonic measuresingularity of harmonic measure

Mathematics Subject Classification ID

Higher-dimensional potential theory (31B99)

Related Items (13)

Rectifiability of harmonic measure ⋮ Sets of absolute continuity for harmonic measure in NTA domains ⋮ Absolute continuity of the harmonic measure on low dimensional rectifiable sets ⋮ Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries ⋮ On harmonic measure and rectifiability in uniform domains ⋮ Absolute continuity of harmonic measure for domains with lower regular boundaries ⋮ Dahlberg's theorem in higher co-dimension ⋮ Examples on Harmonic Measure and Normal Numbers ⋮ Harmonic measure on sets of codimension larger than one ⋮ Tangent measures of elliptic measure and applications ⋮ Elliptic measures and square function estimates on 1-sided chord-arc domains ⋮ Approximate tangents, harmonic measure, and domains with rectifiable boundaries ⋮ Elliptic Theory for Sets with Higher Co-dimensional Boundaries

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