Result: Essential norm of weighted composition operator between α‐Bloch space and β‐Bloch space in polydiscs: Essential norm of weighted composition operator between \(\alpha\)-Bloch space and \(\beta\)-Bloch space in polydiscs

Title:
Essential norm of weighted composition operator between α‐Bloch space and β‐Bloch space in polydiscs: Essential norm of weighted composition operator between \(\alpha\)-Bloch space and \(\beta\)-Bloch space in polydiscs
Authors:
Zhu Xiangling, Li Songxiao
Source:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 71, Pp 3941-3950 (2004)
Publisher Information:
Wiley, 2004.
Publication Year:
2004
Subject Terms:
Bloch type spaces, composition operators, Linear composition operators, Linear operators on function spaces (general), essential norm, QA1-939, Spaces of bounded analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, Mathematics
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1687-0425
0161-1712
DOI:
10.1155/s0161171204403548
Access URL:
https://zbmath.org/2171835
https://doi.org/10.1155/s0161171204403548
https://doaj.org/article/5ed80a015b80440aa592bf6481cc6e0f
http://downloads.hindawi.com/journals/ijmms/2004/470832.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2004.html#LiZ04a
https://www.hindawi.com/journals/ijmms/2004/470832/
https://downloads.hindawi.com/journals/ijmms/2004/470832.pdf
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....92b13dbfaba1dfd6f52a7a0473f8c29c
Database:
OpenAIRE

Further Information

Let φ(z) = (φ1(z), …, φn(z)) be a holomorphic self‐map of 𝔻n and ψ(z) a holomorphic function on 𝔻n, where 𝔻n is the unit polydiscs of ℂn. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψCφ between α‐Bloch space ℬα(𝔻n) and β‐Bloch space ℬβ(𝔻n).