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Function Spaces and Applications pp 424–435Cite as

Lipschitz spaces and interpolating polynomials on subsets of euclidean space

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1302))

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References

  1. Yu. A. Brudnyi and P.A. Shvartsman, A linear extension operator for a space of smooth functions defined on a closed subset of ℝn, Soviet Math. Dokl. 31 (1985), 48–51.

    Google Scholar 

  2. V.K. Dzyadyk and I.A. Shevchuk, Math. USSR Izv. 22 (1983).

    Google Scholar 

  3. G. Glaeser, Étude de quelques algèbres Tayloriennes, J. d’Analyse Math. 6 (1958), 1–125.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Jonsson, The trace of the Zygmund class ∧k(ℝ) to closed sets and interpolating polynomials, J. Approx. Theory 44 (1985), 1–13.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. Jonsson, Markov’s Inequality and Local Polynomial Approximation, No. 3, Department of Math., Univ. of Umeå, 1986.

    Google Scholar 

  6. A. Jonsson, P. Sjögren, and H. Wallin, Hardy and Lipschitz Spaces on Subsets of ℝn, No. 8, Department of Math., Univ. of Umeå, 1980.

    Google Scholar 

  7. A. Jonsson and H. Wallin, The trace to closed sets of functions in ℝn with second difference of order O(h), J. Approx. Theory 26 (1979), 159–184.

    Article  MATH  MathSciNet  Google Scholar 

  8. A. Jonsson and H. Wallin, Local Polynomial Approximation and Lipschitz Type Conditions on General Closed Sets, No. 1, Department of Math., Univ. of Umeå, 1980.

    Google Scholar 

  9. A. Jonsson and H. Wallin, Local polynomial approximation and Lipschitz functions on closed sets, Proceedings of the International Conference on Constructive Function Theory, Varna, Bulgaria, 1981.

    Google Scholar 

  10. A. Jonsson and H. Wallin, Function Spaces on Subsets of ℝn, Mathematical Reports 2, Part 1, Harwood Academic Publ. (1984).

    Google Scholar 

  11. P.A. Shvartsman, Studies in the theory of functions of several real variables (Yu.A. Brudnyi, editor), Yaroslav. Gos. Univ., Yaroslavl’, (1982), 145–168 (Russian).

    Google Scholar 

  12. H. Wallin, Markov’s inequality on subsets of ℝn, Canadian Mathematical Society, Conference Proceedings volume 3 (1983), 377–388.

    MathSciNet  Google Scholar 

  13. H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), 63–89.

    Article  MathSciNet  Google Scholar 

  14. H. Whitney, Differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), 369–387.

    Article  MathSciNet  Google Scholar 

  15. P. Wingren, Imbeddings and Characterizations of Lipschitz Spaces on Closed Sets, No. 5, Department of Math., Univ. of Umeå, 1985.

    Google Scholar 

  16. L. Ödlund, On the Extension of g ε Λα (F) to Eg ε Λα (ℝn), No. 3, Department of Math., Univ. of Umeå, 1982.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Umeå, S-901 87, Umeå, Sweden

    Peter Wingren

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  1. Peter Wingren
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Michael Cwikel Jaak Peetre Yoram Sagher Hans Wallin

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© 1988 Springer-Verlag

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Wingren, P. (1988). Lipschitz spaces and interpolating polynomials on subsets of euclidean space. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078893

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  • DOI: https://doi.org/10.1007/BFb0078893

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18905-3

  • Online ISBN: 978-3-540-38841-8

  • eBook Packages: Springer Book Archive

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