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- Title
Essential norm of the product of differentiation and composition operators between Bloch-type spaces.
- Authors
Liang, Yu-Xia; Zhou, Ze-Hua
- Abstract
In this paper, we give a new characterization for the boundedness of the product of differentiation and composition operators $${C_\varphi D^m}$$ acting on Bloch-type spaces and obtain an estimate for its essential norm in terms of the sequence $${\{z^n\}^{\infty}_{n=1}}$$, from which the sufficient and necessary condition of compactness of the operator $${C_\varphi D^m}$$ follows immediately.
- Subjects
BLOCH constant; COMPLEX variables; LINEAR operators; OPERATOR theory; VECTOR algebra
- Publication
Archiv der Mathematik, 2013, Vol 100, Issue 4, p347
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-013-0499-y