Conjugate type properties of harmonic $(K,K')$-quasiregular mappings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918145555431424 |
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| author | Chen, Shaolin Kalaj, David |
| author_facet | Chen, Shaolin Kalaj, David |
| contents | The main purpose of this paper is to investigate conjugate type properties for harmonic $(K,K')$-quasiregular mappings, where $K \geq 1$ and $K' \geq 0$ are constants. We first establish a Riesz type conjugate function theorem for such mappings, which generalizes and refines several existing results. Additionally, we derive an asymptotically sharp constant for a Riesz type theorem pertaining to a specific class of $K$-quasiregular mappings. Furthermore, we obtain Kolmogorov type and Zygmund type theorems for harmonic $(K,K')$-quasiregular mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conjugate type properties of harmonic $(K,K')$-quasiregular mappings Chen, Shaolin Kalaj, David Complex Variables 30C62, 31A05 The main purpose of this paper is to investigate conjugate type properties for harmonic $(K,K')$-quasiregular mappings, where $K \geq 1$ and $K' \geq 0$ are constants. We first establish a Riesz type conjugate function theorem for such mappings, which generalizes and refines several existing results. Additionally, we derive an asymptotically sharp constant for a Riesz type theorem pertaining to a specific class of $K$-quasiregular mappings. Furthermore, we obtain Kolmogorov type and Zygmund type theorems for harmonic $(K,K')$-quasiregular mappings. |
| title | Conjugate type properties of harmonic $(K,K')$-quasiregular mappings |
| topic | Complex Variables 30C62, 31A05 |
| url | https://arxiv.org/abs/2509.17578 |