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Semi-Bloch Functions in Several Complex Variables
Danderyds Gymnasium, Danderyd, Sweden.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-5328-9560
Umeå University, Umeå, Sweden.
Uppsala University, Uppsala, Sweden.
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
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 λ∈C the function (Formula presented.) 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.
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-30806DOI: 10.1007/s12220-015-9558-xISI: 000378003400023Scopus ID: 2-s2.0-84953639057OAI: oai:DiVA.org:mdh-30806DiVA: diva2:896506
Available from: 2016-01-21 Created: 2016-01-21 Last updated: 2016-10-11Bibliographically approved

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