Growth type theorems of harmonic $(K,K')$-quasiregular mappings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866908552312913920 |
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| author | Chen, Shaolin |
| author_facet | Chen, Shaolin |
| contents | The purpose of this paper is twofold. First, we establish several sharp Hardy-Littlewood type radial growth theorems for harmonic $(K,K')$-quasiregular mappings. Second, we prove some sharp coefficient growth theorems for such mappings. In particular, we affirm Das and Kaliraj's conjecture in the case of univalent harmonic $(K,K')$-quasiregular mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Growth type theorems of harmonic $(K,K')$-quasiregular mappings Chen, Shaolin Complex Variables 30C62, 31A05 The purpose of this paper is twofold. First, we establish several sharp Hardy-Littlewood type radial growth theorems for harmonic $(K,K')$-quasiregular mappings. Second, we prove some sharp coefficient growth theorems for such mappings. In particular, we affirm Das and Kaliraj's conjecture in the case of univalent harmonic $(K,K')$-quasiregular mappings. |
| title | Growth type theorems of harmonic $(K,K')$-quasiregular mappings |
| topic | Complex Variables 30C62, 31A05 |
| url | https://arxiv.org/abs/2509.17603 |