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Boundary absolute continuity of functions in the ball algebra

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1276)

Keywords

  • Holomorphic Function
  • Unit Ball
  • Heisenberg Group
  • Lipschitz Condition
  • Carleson Measure

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References

  1. F. Beatrous, "Boundary continuity of holomorphic functions in the ball", to appear in Proc. Amer. Math. Soc.

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  2. I. Graham, "The radial derivative, fractional integrals and the comparative growth of means of holomorphic functions on the unit ball in ℂn", Recent developments in Several Complex Variables, Annals of Math. Studies 100(1981), 171–178.

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  3. I. Graham, "An Hp-space theorem for the radial derivatives of holomorphic functions on the unit ball in ℂn", preprint.

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  4. S. Krantz, "Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables", Math. Ann. 244(1979), 243–262.

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  5. W. Rudin, "Function theory in the unit ball of ℂ n ", Springer-Verlag, New York 1980.

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© 1987 Springer-Verlag

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Bruna, J. (1987). Boundary absolute continuity of functions in the ball algebra. In: Berenstein, C.A. (eds) Complex Analysis II. Lecture Notes in Mathematics, vol 1276. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078954

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  • DOI: https://doi.org/10.1007/BFb0078954

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18357-0

  • Online ISBN: 978-3-540-47904-8

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