Compact composition operators
on the Nevanlinna class
Authors:
Jun Soo Choa and Hong Oh Kim
Journal:
Proc. Amer. Math. Soc. 125 (1997), 145-151
MSC (1991):
Primary 47B05, 47B38; Secondary 30D55
DOI:
https://doi.org/10.1090/S0002-9939-97-03534-X
MathSciNet review:
1346966
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Abstract: In this paper we prove that the composition operator induced by a holomorphic self-map of the unit disc is compact on the Nevanlinna class if and only if it is compact on the Hardy space 
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Additional Information
Jun Soo Choa
Affiliation:
Department of Mathematics Education, Sung Kyun Kwan University, Jongro-Gu, Seoul 110-745, Korea
Email:
jschoa@yurim.skku.ac.kr
Hong Oh Kim
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Yusung-gu Gusung-dong, Taejun 305-701, Korea
DOI:
https://doi.org/10.1090/S0002-9939-97-03534-X
Keywords:
Compact composition operator,
Nevanlinna counting function,
Carleson measure
Received by editor(s):
May 2, 1995
Received by editor(s) in revised form:
June 30, 1995
Additional Notes:
Supported in part by TGRC, and Korean ministry of Education, BSRI-95-1420
Communicated by:
Theodore W. Gamelin
Article copyright:
© Copyright 1997
American Mathematical Society