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On a theorem of Cartwright in higher dimensions

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Publication:2793759
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DOI10.1112/jlms/jdv060zbMath1345.31013arXiv1406.5743OpenAlexW3103185401MaRDI QIDQ2793759

Eugenia Malinnikova, Alexander Logunov, Pavel A. Mozolyako

Publication date: 17 March 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5743



Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25)




Cites Work

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  • On the minimum of harmonic functions
  • An extension of the Riesz-Herglotz formula
  • A representation theorem for harmonic functions in the ball in R^n
  • A critical growth rate for harmonic and subharmonic functions in the open ball in $R^n$
  • A boundary estimate for harmonic functions
  • Generalized axially symmetric potential theory


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