Pacific Journal of Mathematics

A construction of inner maps preserving the Haar measure on spheres.

Bogusław Tomaszewski

Article information

Source
Pacific J. Math., Volume 115, Number 1 (1984), 203-215.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102708421

Mathematical Reviews number (MathSciNet)
MR762211

Zentralblatt MATH identifier
0573.32026

Subjects
Primary: 32A35: Hp-spaces, Nevanlinna spaces [See also 32M15, 42B30, 43A85, 46J15]
Secondary: 32A40: Boundary behavior of holomorphic functions

Citation

Tomaszewski, Bogusław. A construction of inner maps preserving the Haar measure on spheres. Pacific J. Math. 115 (1984), no. 1, 203--215. https://projecteuclid.org/euclid.pjm/1102708421


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References

  • [1] A. B. Aleksandrov, The existence of inner functions on the unit ball, Mat. Sb. 1982, v. 118 (160) N2(6), 147-163 (in Russian).
  • [2] E. Low, A construction of inner functions on the unit ball of Cp, Invent. Math., 67 (1982), 223-229.
  • [3] W. Rudin, Inner functions in the unit ball, preprint.
  • [4] W. Rudin, Function Theory in the Unit Ball ofC", Springer, New York, 1980.