تقرير
On meromorphic functions whose image has finite spherical area
| العنوان: | On meromorphic functions whose image has finite spherical area |
|---|---|
| المؤلفون: | Ivrii, Oleg |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables |
| الوصف: | In this paper, we study meromorphic functions on a domain $\Omega \subset \mathbb{C}$ whose image has finite spherical area, counted with multiplicity. The paper is composed of two parts. In the first part, we show that the limit of a sequence of meromorphic functions is naturally defined on $\Omega$ union a tree of spheres. In the second part, we show that a set $E \subset \Omega$ is removable if and only if it is negligible for extremal distance. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2201.12227 |
| رقم الأكسشن: | edsarx.2201.12227 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |