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On the rational approximation of HP functions in the LP(μ) metric

Approximation Theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1354)

Abstract

Upper estimates of the best LP(μ) rational approximation of HP functions are found when μ is a Carleson measure on the interval (−1,1).

Keywords

  • Rational Function
  • Rational Approximation
  • Carleson Measure
  • Lipschitz Class
  • Integral Modulus

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References

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© 1988 Springer-Verlag

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Illán, J. (1988). On the rational approximation of HP functions in the LP(μ) metric. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089592

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  • DOI: https://doi.org/10.1007/BFb0089592

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

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