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Bounded Mean Oscillation on Regular Riemann Surfaces

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This paper gives characterizations for the space BMOH of harmonic functions of bounded mean oscillation on regular hyperbolic Riemann surfaces. The John-Nirenberg type of characterization given in [5] is simplified when the Riemann surface is regular.

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This paper gives characterizations for the space BMOH of harmonic functions of bounded mean oscillation on regular hyperbolic Riemann surfaces. The John-Nirenberg type of characterization given in [5] is simplified when the Riemann surface is regular.

Keywords

Bounded mean oscillationBounded functionMathematicsRiemann surfaceMathematical analysisGeometric function theoryRiemann hypothesisOscillation (cell signaling)

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