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On functional classes invariant relative to homotheties

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Quasiconformal Space Mappings

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1508))

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References

  1. A. P. Kopylov, Stability of classes of multidimensional holomorphic mappings I. The concept of stability. Liouville’s theorem, Sibirsk. Mat. Zh. Vol. 23, No. 3 (1982), 70–91.

    MathSciNet  MATH  Google Scholar 

  2. A. P. Kopylov, Stability in the C-norm of classes of mappings, Novosibirsk “Nauka”, Siberian subdivision, 1990, 1–222.

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  3. J. Moser, On Harnack’s theorem for elliptic differential equations, Comm. Pure Appl. Math. 14 (1961), 577–591.

    Article  MathSciNet  MATH  Google Scholar 

  4. O. A. Ladyzhenskaya and N. N. Ural’tseva, Linear and quasilinear elliptic equations, Moscow “Nauka”, 1973.

    Google Scholar 

  5. Yu. G. Reshetnyak, Space mappings with bounded distortion, Translations of mathematical monographs v 73, American math. society, 1989, revised and enlarged translation of “Prostranstvennye otobrazheniya s ogranichennym iskazheniem”, Novosibirsk “Nauka”, 1982.

    Google Scholar 

  6. M. A. Kreǐnes, Sur une classe de fonctions de plusier variables, Mat. Sb. 9 (51) (1941), 713–720.

    MATH  Google Scholar 

  7. S. Granlund, P. Lindqvist, and O. Martio, Conformally invariant variational integrals, Trans. Amer. Math. Soc. 277 (1983), 43–73.

    Article  MathSciNet  MATH  Google Scholar 

  8. P. Tukia and J. Väisälä: Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn. Ser. A I Math. 5 (1980), 97–114.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, 630090, Novosibirsk, USSR

    Yu. G. Reshetnyak

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  1. Yu. G. Reshetnyak
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Matti Vuorinen

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© 1992 Springer-Verlag

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Reshetnyak, Y.G. (1992). On functional classes invariant relative to homotheties. In: Vuorinen, M. (eds) Quasiconformal Space Mappings. Lecture Notes in Mathematics, vol 1508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094239

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  • DOI: https://doi.org/10.1007/BFb0094239

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55418-9

  • Online ISBN: 978-3-540-47061-8

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