Factorization of delta-monotone linear mappings |
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Authors: | Changhao Chen Shengyou Wen |
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Institution: | Department of Mathematics, Hubei University, Wuhan 430062, China |
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Abstract: | For a delta-monotone linear mapping we prove that the factors in the polar decomposition are delta-monotone. Also, we prove that every delta-monotone linear mapping can be factored into a product of (1-ε)-monotone mappings for any ε∈(0,1). As an application in nonlinear case, we give a new proof of the following fact: the quasiconformality constant K(δ,n) of a δ-monotone mapping can be chosen such that K(δ,n) tends to 1 as δ tends to 1. |
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Keywords: | 30C65 47H05 |
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