Citation
Jh. Shi et L. Luo, Composition operators on the Bloch space of several complex variables, ACTA MATH S, 16(1), 2000, pp. 85-98
Citations number
3
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574
→ ACNP
Volume
16
Issue
1
Year of publication
2000
Pages
85 - 98
Database
ISI
SICI code
1000-9574(200001)16:1<85:COOTBS>2.0.ZU;2-2
Abstract
In this paper, we study the boundedness and compactness of composition oper
ator C-phi on the Bloch space beta(Omega), Omega being a bounded homogeneou
s domain. For Omega = B-n, we give the necessary and sufficient conditions
for a composition operator C-phi to be compact on beta(B-n) or beta(0)(B-n)
.