Composition operators from the space of Cauchy transforms into its hardy-type subspaces

Authors
Choa, JS Kim, HO
Citation
Js. Choa et Ho. Kim, Composition operators from the space of Cauchy transforms into its hardy-type subspaces, R MT J MATH, 31(1), 2001, pp. 95-113
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596 → ACNP
Volume
31
Issue
1
Year of publication
2001
Pages
95 - 113
Database
ISI
SICI code
0035-7596(200121)31:1<95:COFTSO>2.0.ZU;2-T
Abstract
This paper studies the boundedness and compactness of composition operators from the space of Cauchy transforms into its Hardy-type subspaces. They ar e characterized by the behavior of the Cauchy kernel composed by inducing s elf-maps of the unit disk.