Composition operators between area-type Nevanlinna classes

Mao-fa Wang; Pei-de Liu

doi:10.1007/s11464-006-0009-7

Front. Math. China ›› 2006, Vol. 1 ›› Issue (2) : 293 -302. DOI: 10.1007/s11464-006-0009-7

Research Article

Composition operators between area-type Nevanlinna classes

Mao-fa Wang ¹^,²^,^a
, Pei-de Liu ¹

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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.

Keywords

composition operator / Fredholm operator / Nevanlinna class / Carleson measure / 47B38

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Mao-fa Wang, Pei-de Liu. Composition operators between area-type Nevanlinna classes. Front. Math. China, 2006, 1(2): 293-302 DOI:10.1007/s11464-006-0009-7

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