Weighted composition operators on the Bloch space
By Shuichi Ohno, R. Zhao. Bulletin of the Australian Mathematical Society, 2001
89 citations recorded by the source corpus.
We characterise bounded and compact weighted composition operators on the Bloch space and the little Bloch space. The results generalise the known corresponding results on composition operators and pointwise multipliers on the Bloch space and the little Bloch space.
Subfields: Algebra and Number Theory, Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/8f5e428649c15923ac0939f85cbb8869654d18b4
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In Algebra and Number Theory
- R. Zhao
- Karel M. Stroethoff
- Shuichi Ohno
- Z. C̆uc̆ković
- S. Stević
- Songxiao Li
- Pekka J. Nieminen
- Jennifer Moorhouse
In Applied Mathematics
- R. Zhao
- Karel M. Stroethoff
- Shuichi Ohno
- Z. C̆uc̆ković
- S. Stević
- Songxiao Li
- Pekka J. Nieminen
- Xiangling Zhu
Citations in the corpus
- Weighted Composition Operators from H∞ to the Bloch Space of a Bounded Homogeneous Domain (2010, unknown): “The study of the weighted composition operators on the Bloch space began with the work of Ohno and Zhao in [19] where the operators from the Bloch space of the open unit disk D into itself were considered.”
- Weighted Composition Operators on the Bergman Space (2004, background): “In [19, 20], the boundedness and compactness of these operators on the Bloch spaces and α-Bloch spaces were characterized.”
- Weighted Composition Operators between Bloch-Type Spaces (2003, methodology): “For α = 1 a similar example was given in [7].”