A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into μ-Bloch Spaces
Joint Authors
Castillo, René Erlín
Ramos-Fernández, Julio C.
Rojas, Edixon M.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-26
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let μ be any weight function defined on the unit disk ? and let ϕ be an analytic self-map of ?.
In the present paper, we show that the essential norm of composition operator Cϕ mapping from the weighted Bloch space to μ-Bloch space ℬμ is comparable to lim sup|a|→1-∥σa∘ϕ∥ℬμ, where for a∈?, σa is a certain special function in the weighted Bloch space.
As a consequence of our estimate, we extend the results about the compactness of composition operators due to Tjani (2003).
American Psychological Association (APA)
Castillo, René Erlín& Ramos-Fernández, Julio C.& Rojas, Edixon M.. 2013. A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into μ-Bloch Spaces. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1006272
Modern Language Association (MLA)
Castillo, René Erlín…[et al.]. A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into μ-Bloch Spaces. Journal of Function Spaces No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1006272
American Medical Association (AMA)
Castillo, René Erlín& Ramos-Fernández, Julio C.& Rojas, Edixon M.. A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into μ-Bloch Spaces. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1006272
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006272
