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Approach Regions for Trees

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Fatou Type Theorems

Part of the book series: Progress in Mathematics ((PM,volume 147))

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Abstract

In this chapter we prove the following Theorem 4.1 [ADBU96] Let T be a very regular tree. Then there exists an approach family L that is Nagel-Stein relative to the cones for the tree. In particular, harmonic functions with hp growth do converge along L on a set of full measure of the boundary.

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© 1998 Birkhäuser

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Di Biase, F. (1998). Approach Regions for Trees. In: Fatou Type Theorems. Progress in Mathematics, vol 147. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2310-8_4

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  • DOI: https://doi.org/10.1007/978-1-4612-2310-8_4

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7496-4

  • Online ISBN: 978-1-4612-2310-8

  • eBook Packages: Springer Book Archive

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