On the Estimates of Hyperbolic Area Distortion of Quasiconformal Mappings
Xinzhong Huang
Abstract
Xinzhong Huang
Abstract
The distortion property of hyperbolic area of planar quasiconformal mappings is studied in this paper.In the case of radial quasiconformal mappings and angular deformed quasiconformal mappings their hyperbolic area distortions are estimated quite sharply.The result can be applied to judge whether the hyperbolic area of a planar subset is explodable.
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The distortion property of hyperbolic area of planar quasiconformal mappings is studied in this paper.In the case of radial quasiconformal mappings and angular deformed quasiconformal mappings their hyperbolic area distortions are estimated quite sharply.The result can be applied to judge whether the hyperbolic area of a planar subset is explodable.
Key concepts: Distortion (music), Mathematics, Planar, Quasiconformal mapping, Mathematical analysis, Pure mathematics, Computer science, Computer network