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The boundary modulus of continuity of harmonic functions

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Publication:1163132
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DOI10.2140/pjm.1980.90.87zbMath0483.31002OpenAlexW2016445549MaRDI QIDQ1163132

Elgin H. Johnston

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2140/pjm.1980.90.87


zbMATH Keywords

modulus of continuityharmonic measure estimates


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)


Related Items (5)

Harmonic version of Jackson's theorem in the complex plane ⋮ On \(\mathrm{Lip}( \omega )\)-continuity of the operator of harmonic reflection over boundaries of simple Carathéodory domains ⋮ 𝐿𝑖𝑝𝛼 harmonic approximation on closed sets ⋮ Fekete potentials and polynomials for continua ⋮ On \(\mathrm{Lip}^m\)-reflection of harmonic functions over boundaries of simple Carathéodory domains




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