Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric
In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings.
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| Veröffentlicht in: | Analysis mathematica (Budapest) 2022-12, Vol.48 (4), p.1069-1080 |
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| container_issue | 4 |
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| container_title | Analysis mathematica (Budapest) |
| container_volume | 48 |
| creator | Huang, J. Rasila, A. Zhu, J.-F. |
| description | In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings. |
| doi_str_mv | 10.1007/s10476-022-0132-z |
| format | Article |
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| subjects | Analysis Mathematics Mathematics and Statistics |
| title | Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric |
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