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Semi-Bloch Functions in Several Complex Variables
Danderyds Gymnasium, Danderyd, Sweden..
Malardalen Univ, Acad Culture & Commun, Vasteras, Sweden..
Umea Univ, Dept Math & Math Stat, Umea, Sweden..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2016 (English)In: Journal of Geometric Analysis, ISSN 1050-6926, E-ISSN 1559-002X, Vol. 26, no 1, 463-473 p.Article in journal (Refereed) Published
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Text
Abstract [en]

Let M be an n-dimensional complex manifold. A holomorphic function f : M -> C is said to be semi-Bloch if for every lambda is an element of C the function g(lambda) = exp(lambda f(z)) is normal on M. We characterize semi-Bloch functions on infinitesimally Kobayashi non-degenerate M in geometric as well as analytic terms. Moreover, we show that on such manifolds, semi-Bloch functions are normal.

Place, publisher, year, edition, pages
2016. Vol. 26, no 1, 463-473 p.
Keyword [en]
Semi-Bloch functions, Bloch functions, Normal functions, Kobayashi-Royden pseudometric
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-299630DOI: 10.1007/s12220-015-9558-xISI: 000378003400023OAI: oai:DiVA.org:uu-299630DiVA: diva2:949826
Available from: 2016-07-25 Created: 2016-07-25 Last updated: 2016-07-25Bibliographically approved

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