Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 2: 293 - 302

DOI: https://doi.org/10.1007/s11464-006-0009-7

Composition operators between area-type Nevanlinna classes

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  • 1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China; 2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Published date: 05 Jun 2006

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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 CΨ: Nap → Naq to be bounded or compact, where 1 < p "d q. Moreover, the inducing maps which induce invertible or Fredholm composition operators on Nap are characterized.

Cite this article

WANG Mao-fa, LIU Pei-de . Composition operators between area-type Nevanlinna classes[J]. Frontiers of Mathematics in China, 2006 , 1(2) : 293 -302 . DOI: 10.1007/s11464-006-0009-7

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