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The Products of Differentiation and Composition Operators from Logarithmic Bloch Spaces to $$\mu $$-Bloch Spaces
- Source :
- Bulletin of the Iranian Mathematical Society. 46:159-176
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- In this paper, we present the new characterizations, in terms of the sequence $$\{z^j\}_{j=1}^\infty $$, about the boundedness and essential norm estimation for the products of differentiation and composition operators from logarithmic Bloch spaces to $$\mu $$-Bloch spaces on the unit disk. Then our main results are applied to show the boundedness of a non-trivial product operator $$C_\varphi D^m$$ with $$\varphi (z)=z^2$$.
Details
- ISSN :
- 17358515 and 1017060X
- Volume :
- 46
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Iranian Mathematical Society
- Accession number :
- edsair.doi...........a988f7f7d7e2ac112857cba456576140