Schwarz-Pick Lemma for Invariant Harmonic Functions on the Complex Unit Ball
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915794275794944 |
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| author | Jaglan, Kapil Seo, Aeryeong |
| author_facet | Jaglan, Kapil Seo, Aeryeong |
| contents | This paper establishes a sharp Schwarz-Pick type inequality for real-valued invariant harmonic functions defined on the complex unit ball $\mathbb B^n$. The proof of this main result simultaneously provides a solution to a natural extension of the Khavinson conjecture for invariant harmonic functions, demonstrating that the sharp constants for the gradient and the radial derivative coincide. As further consequences of the main theorem, we derive two corollaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11599 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Schwarz-Pick Lemma for Invariant Harmonic Functions on the Complex Unit Ball Jaglan, Kapil Seo, Aeryeong Complex Variables This paper establishes a sharp Schwarz-Pick type inequality for real-valued invariant harmonic functions defined on the complex unit ball $\mathbb B^n$. The proof of this main result simultaneously provides a solution to a natural extension of the Khavinson conjecture for invariant harmonic functions, demonstrating that the sharp constants for the gradient and the radial derivative coincide. As further consequences of the main theorem, we derive two corollaries. |
| title | Schwarz-Pick Lemma for Invariant Harmonic Functions on the Complex Unit Ball |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2602.11599 |