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Harmonic Measure

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Geometric Function Theory

Part of the book series: Cornerstones ((COR))

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Abstract

Harmonic measure is a device for estimating harmonic functions on a domain. It has become an essential tool in potential theory and in studying the corona problem. It is useful in studying the boundary behavior of conformal mappings, and it tells us a great deal about the boundary behavior of holomorphic functions and solutions of the Dirichlet problem. All these are topics that will be touched on in the present book.

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© 2006 Birkhäuser Boston

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(2006). Harmonic Measure. In: Krantz, S.G. (eds) Geometric Function Theory. Cornerstones. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4440-7_9

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