Composition operators between area-type Nevanlinna classes |
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| Authors: | Mao-fa Wang Pei-de Liu |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China;(2) Wuhan Institute of Physics and Mathematics, CAS, Wuhan, 130071, China |
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| Abstract: | This paper is concerned with the composition operators between the area-type Nevanlinna classes. Some sufficient and necessary
conditions are given in terms of the concept of Carleson measure and the standard techniques of Montel Theorem for the composition
operator C
φ: N
a
p
→ N
a
q
to be bounded or compact, where 1 < p ⩽ q. Moreover, the inducing maps which induce invertible or Fredholm composition operators on N
a
p
are characterized.
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Translated from Journal of Wuhan University (Natural Science Edition), 2004, 50(1): 1–5. This work was supported by the National Natural Science Foundation of China under grant number 19771063 |
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| Keywords: | composition operator Fredholm operator Nevanlinna class Carleson measure |
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