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On the Fatou theorem for ∂̄J-subsolutions in wedges

Part of: Global differential geometry Holomorphic mappings and correspondences

Published online by Cambridge University Press:  17 August 2022

Alexandre Sukhov
Alexandre Sukhov*
Affiliation:
Departement de Mathématique, University of Lille, Laboratoire Paul Painlevé, Villeneuve d'Ascq, Cedex 59655, France ([email protected])
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Abstract

We prove a version of the Fatou theorem for bounded functions with a bounded $\overline \partial _J$ part of the differential on wedge-type domains in an almost complex manifold.

Keywords

almost complex manifold∂̄-operatorpseudoholomorphic discwedge-type domaintotally real manifoldthe Fatou theorem

MSC classification

Primary: 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 65 , Issue 3 , August 2022 , pp. 760 - 774
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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