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GlobalLp-integrability of the derivative of a quasiconformal mapping

 

作者: O. Martio,   J. Väisälä,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1988)
卷期: Volume 9, issue 4  

页码: 309-319

 

ISSN:0278-1077

 

年代: 1988

 

DOI:10.1080/17476938808814275

 

出版商: Gordon and Breach Science Publishers

 

数据来源: Taylor

 

摘要:

Letfbe a quasiconformal mapping of an open bounded setUinRnintoRn. Thenf′belongs toLp(U)for somep > nprovided thatfsatisfies (a)Uis a uniform domain andfUis a John domain or (b)fis quasisymmetric andUsatisfies a metric plumpness condition.

 

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