Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.01941 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914394356580352 |
|---|---|
| author | Desyatka, Victoria Kovba, Zarina Sevost'yanov, Evgeny |
| author_facet | Desyatka, Victoria Kovba, Zarina Sevost'yanov, Evgeny |
| contents | We investigate distortion estimates for mappings at boundary points of a domain. We consider mappings of the Sobolev and Orlicz-Sobolev classes and some other classes of mappings that do not preserve the boundary of a domain. For above mappings, we establish distortion estimates at boundary points. In particular, under certain conditions on the characteristics of the mappings, we show that they are Hölder continuous. In the manuscript we consider both the case of ``good'' boundaries and ``domains with prime ends''. We have obtained not only Hölder-type estimates, but also some more general ones under appropriate (more general) conditions on the characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01941 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On boundary Hölder continuity of Sobolev and Orlicz-Sobolev classes Desyatka, Victoria Kovba, Zarina Sevost'yanov, Evgeny Complex Variables 30C65 We investigate distortion estimates for mappings at boundary points of a domain. We consider mappings of the Sobolev and Orlicz-Sobolev classes and some other classes of mappings that do not preserve the boundary of a domain. For above mappings, we establish distortion estimates at boundary points. In particular, under certain conditions on the characteristics of the mappings, we show that they are Hölder continuous. In the manuscript we consider both the case of ``good'' boundaries and ``domains with prime ends''. We have obtained not only Hölder-type estimates, but also some more general ones under appropriate (more general) conditions on the characteristic. |
| title | On boundary Hölder continuity of Sobolev and Orlicz-Sobolev classes |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/2509.01941 |