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ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY
Author(s) -
Zhong Deguang
Publication year - 2021
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12061
Subject(s) - mathematics , isometry (riemannian geometry) , poisson distribution , differential (mechanical device) , pure mathematics , inequality , mathematical analysis , statistics , engineering , aerospace engineering
In this paper, we established a hyperbolically quasi‐isometric inequality for quasiconformal twice continuously differentiable self‐mappings f of unit disk satisfying Poisson differential inequality. Moreover, the co‐Lipschitz continuity with respect to Euclidean metric for this class of functions was derived.