On a New Integral-Type Operator from the Weighted Bergman Space to the Bloch-Type Space on the Unit Ball
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-14
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We introduce an integral-type operator, denoted by Pφg, on the space of holomorphic functions on the unit ball B⊂ℂn, which is an extension of the product of composition and integral operators on the unit disk.
The operator norm of Pφg from the weighted Bergman space Aαp(B) to the Bloch-type space ℬμ(B) or the little Bloch-type space ℬμ,0(B) is calculated.
The compactness of the operator is characterized in terms of inducing functions g and φ.
Upper and lower bounds for the essential norm of the operator Pφg:Aαp(B)→ℬμ(B), when p>1, are also given.
American Psychological Association (APA)
Stevic, Stevo. 2008. On a New Integral-Type Operator from the Weighted Bergman Space to the Bloch-Type Space on the Unit Ball. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-450139
Modern Language Association (MLA)
Stevic, Stevo. On a New Integral-Type Operator from the Weighted Bergman Space to the Bloch-Type Space on the Unit Ball. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-14.
https://search.emarefa.net/detail/BIM-450139
American Medical Association (AMA)
Stevic, Stevo. On a New Integral-Type Operator from the Weighted Bergman Space to the Bloch-Type Space on the Unit Ball. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-450139
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450139
