Charatheodory and Smirnov type theorem for harmonic mappings
classification
🧮 math.CV
math.DG
keywords
harmonictheoremtypeboundarycharatheodoryinequalityjordansmirnov
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We prove a version of Smirnov type theorem and Charatheodory type theorem for a harmonic homeomorphism of the unit disk onto a Jordan surface with rectifiable boundary. Further we establish the classical isoperimetric inequality and Riesz--Zygmund inequality for Jordan harmonic surfaces without any smoothness assumptions of the boundary.
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