Research Article
On the radial limits of mappings on Riemannian manifolds
https://doi.org/10.21203/rs.3.rs-2590150/v1
This work is licensed under a CC BY 4.0 License
published 26 Jun, 2023
Read the published version in Analysis and Mathematical Physics →
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We study the geometric properties of the mappings for which a generalized inversePoletsky modular inequality holds. Our approach is on Riemannian manifolds and we generalize some known theorems from the theory of analytic mappings concerning radial limits, such as the theorems of Fatou and M. and F. Riesz and their extensions given for quasiregular mappings by Martio and Rickman.
AMS 2010 Subject Classification: 30C65, 31A15.
generalizations of quasiregular mappings
Riemannian manifolds
radial limits
map-pings of finite distortion
No competing interests reported.
published 26 Jun, 2023
Read the published version in Analysis and Mathematical Physics →
Editorial decision: Major revision
15 May, 2023
Reviews received at journal
26 Apr, 2023
Reviewers agreed at journal
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01 Mar, 2023
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27 Feb, 2023
Submission checks completed at journal
27 Feb, 2023
First submitted to journal
15 Feb, 2023
You are reading this latest preprint version