On the generalized Blaschke condition
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- by P. S. Chee PDF
- Trans. Amer. Math. Soc. 152 (1970), 227-231 Request permission
Abstract:
In an earlier paper, the author has shown that the generalized Blaschke condition is satisfied by bounded holomorphic functions in the polydisc or the ball in ${C^N}$. By essentially the same method, it is shown in the present paper that the same condition is satisfied by larger classes of functions, the Nevanlinna classes.References
- Pak Soong Chee, The Blaschke condition for bounded holomorphic functions, Trans. Amer. Math. Soc. 148 (1970), 249–263. MR 262541, DOI 10.1090/S0002-9947-1970-0262541-5
- Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0255841
- E. C. Titchmarsh, Han-shu lun, Science Press, Peking, 1964 (Chinese). Translated from the English by Wu Chin. MR 0197687
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 152 (1970), 227-231
- MSC: Primary 32.17
- DOI: https://doi.org/10.1090/S0002-9947-1970-0268405-5
- MathSciNet review: 0268405