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September 10, 2025FilomatOpen Access

Some remarks on generalized Schwarz-Pick type inequality for harmonic quasiconformal mappings with simply connected ranges

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The study presents a generalized Schwarz-Pick inequality, extending previous research on harmonic quasiconformal mappings.
It determines the co-Lipschitz continuity of these mappings, highlighting their relationship with the hyperbolic metric.
The bi-Lipschitz constant is computed for mappings within simply connected domains, showing significant mathematical implications.
Analyzing simply connected hyperbolic domains unveils new aspects of their geometric properties and mappings.

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Implication

This paper establishes a Schwarz-Pick type inequality for harmonic quasiconformal mappings, indicating co-Lipschitz continuity and defining the bi-Lipschitz constant.

Cite This Study

Miljan Knežević (2025) studied this question.

synapsesocial.com/papers/68c1c62654b1d3bfb60f1a4f https://doi.org/10.2298/fil2507133k

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Implication

This paper establishes a Schwarz-Pick type inequality for harmonic quasiconformal mappings, indicating co-Lipschitz continuity and defining the bi-Lipschitz constant.

Some remarks on generalized Schwarz-Pick type inequality for harmonic quasiconformal mappings with simply connected ranges

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Discussion

Implication

Cite This Study

Some remarks on generalized Schwarz-Pick type inequality for harmonic quasiconformal mappings with simply connected ranges

Key Points

Discussion

Implication

Cite This Study

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