期刊文献+

拟正则映照的局部单叶性和VMO_Φ空间的Orlicz-范数

ON LOCAL INJECTIVITY OF QUASI-REGULAR MAPPINGS AND THE ORLICZ NORM OF VMOφ SPACE
下载PDF
导出
摘要 本文证明了如果拟正则映照f的伸张张量Gf(x)或矩阵伸张Mf(x)与VMOφ空间的Orlicz-范数距离充分小,则f为局部同胚. In this paper, the authors prove that a quasi-regular mapping f is a local homeomor-phism if the Orlicz-norm distance between its dilatation tensor Gf(x) (or matrix dilatation Mf(x)) and VMOφ space is sufficiently small.
出处 《数学年刊(A辑)》 CSCD 北大核心 2002年第3期381-388,共8页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.19531060) 教育部博士点专项科研基金(No.97024811)资助的项目.
关键词 拟正则映照 伸张张量 矩阵伸张 VMOΦ空间 Orlica-范数 Quasi-regular mappings, Dilatation tensor, Matrix dilatation, VMOφ space, Orlicz-norm
  • 相关文献

参考文献12

  • 1Ahlfors, L., Quasiconformal deformations and mappings in Rn [J], J. Analyse Math.,30(1976), 74-79. 被引量:1
  • 2Boyarski, B. V., Iwaniec, T. & Kopiecki, R., Riemannian manifolds with non-smooth metric tensors and QC-maps [A], in Proc. Sem. on Monge-Ampere Equations and Related Topics [C], (Firenze 1980), Roma 1982, pp.123-165. 被引量:1
  • 3Ferrand, J., Regularity of conformal mappings of Riemannian manifolds [J], Lect. Notes Math., 743(1979), 191-203. 被引量:1
  • 4Gutlyanskii, V. Y., Martio, O., Ryazanov, V. I. & Vuorinen, M., On local injectivity and asymptotic linearity of quasi-regular mappings [R], Preprint 122, Department of Mathematics, University of Helsinki, Helsinki, 1996. 被引量:1
  • 5Iwaniec, T. & Kopiecki, R., Stability in the differential equation for quasi-regular mappings [J], Lect. Notes Math., 798(1980), 203-214. 被引量:1
  • 6Iwaniec, T. & Martin, G., Quasiregular mappings in even dimensions [J], Acta Math.,170(1993), 29-81. 被引量:1
  • 7Lehto, O. & Virtanen, K., Quasikonforme abbildungen [M], Springer-Verlag, Berlin 1965. 被引量:1
  • 8Martio, O., Rickman, S. & Vaisala, J., Distortion and singularities of quasi-regular mappings [J], Ann. Acad. Sci. Ser. AI, 465(1970), 1-13. 被引量:1
  • 9Reshetnyak, Y. G., Space mappings with bounded distortion [J], Nauka, Novosibirsk,1982; English transl., Amer. Math. Soc., Providence, 73(1989). 被引量:1
  • 10Rickman, S., Quasiregular mappings [M], Springer-Verlag, Berlin-Heidelberg, 1993. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部