Weighted Composition Groups on the Little Bloch Space
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We determine both the semigroup and spectral properties of a group of weighted composition operators on the little Bloch space.
It turns out that these are strongly continuous groups of invertible isometries on the Bloch space.
We then obtain the norm and spectra of the infinitesimal generator as well as the resulting resolvents which are given as integral operators.
As a consequence, we complete the analysis of the adjoint composition group on the predual of the nonreflexive Bergman space and a group of isometries associated with a specific automorphism of the upper half-plane.
American Psychological Association (APA)
Mose, S. B.& Bonyo, J. O.. 2020. Weighted Composition Groups on the Little Bloch Space. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185532
Modern Language Association (MLA)
Mose, S. B.& Bonyo, J. O.. Weighted Composition Groups on the Little Bloch Space. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185532
American Medical Association (AMA)
Mose, S. B.& Bonyo, J. O.. Weighted Composition Groups on the Little Bloch Space. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185532
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185532