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The modulus of continuity of an analytic function

Part of the Lecture Notes in Mathematics book series (LNM,volume 512)

Keywords

  • Banach Algebra
  • Absolute Constant
  • Dirac Measure
  • Ideal Space
  • Generalize Modulus

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References

  1. Jan Boman, On comparison theorems for generalized moduli of continuity, in Linear Operators and Approximation Theory (Proceedings of a conference at Oberwolfach 1974), P.L. Butzer and B. Sz-Nagy, editors, pages 105–111.

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  2. G.H. Hardy and J.E. Littlewood, “Some properties of fractional integrals, II”, Math. Zeit. 34 (1931) 403–439.

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  3. L.A. Rubel, A.L. Shields and B.A. Taylor, “Mergelyan sets and the modulus of continuity of analytic functions”, preprint.

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  4. H.S. Shapiro, Smoothing and approximation of functions, Van Nostrand, New York, 1969.

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  5. H.S. Shapiro, Topics in approximation theory, Springer lecture notes in math., vol. 187, 1971.

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  6. P.M. Tamrazov, Contour and solid structure properties of holomorphic functions of a complex varible, Russ. Math. Surveys 28 (1973) 141–173; see also other papers of Tamrazov referred to therein.

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  7. N.Th. Varopoulos Studies in harmonic analysis, Proc. Cambridge Philo. Soc. 60 (1964) 465–516.

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© 1976 Springer-Verlag

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Shapiro, H.S. (1976). The modulus of continuity of an analytic function. In: Bekken, O.B., Øksendal, B.K., Stray, A. (eds) Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080030

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  • DOI: https://doi.org/10.1007/BFb0080030

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07682-7

  • Online ISBN: 978-3-540-38201-0

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