Complex Variables Theory and Application An International Journal · 1999 · 11 citations · 7 references
Orientation-preserving FunctionUnit DiskFunction TheoryFunctional AnalysisComplex Function TheoryBloch ConditionsHarmonic SpaceHarmonic Univalent Functions
Abstract Let f = h + ğ be a harmonic, univalent and orientation-preserving function on the unit disk, where h and g are analytic. We show that log|h(eit)| and log|g(eit)| are BMO when some Bloch conditions are satisfied. Keywords: Harmonic functionsunivalent functionsBloch functionsBMO functions1991 AMS Subject Classification: Primary 30C99Secondary 30C6231A20
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Peter W. Jones, John B. Garnett · American Mathematical Monthly · 1982 · 3.6K citations
Spectral Theory, Infinite Dimensional Analysis, Engineering +9