The ACL Property of Homeomorphisms under Weak Conditions  

The ACL Property of Homeomorphisms under Weak Conditions

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作  者:Fang Ainong, Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China 

出  处:《Acta Mathematica Sinica,English Series》1998年第4期473-480,共8页数学学报(英文版)

基  金:Project supported by the National Natural Science Foundation of China and JTU

摘  要:Suppose that D is a domain in (n 2) and y= f(x): D → R^n is a homeomorphism. We prove that if the modulus dilatation K(x, f) satisfies the condition A then f(x) is ACL.Suppose that D is a domain in (n 2) and y= f(x): D → R^n is a homeomorphism. We prove that if the modulus dilatation K(x, f) satisfies the condition A then f(x) is ACL.

关 键 词:Quasiconformal mappings ACL-property HOMEOMORPHISM 

分 类 号:O1[理学—数学]

 

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