In this paper, we present the new characterizations, in terms of the sequence $$\{z^j\}_{j=1}^\infty $${zj}j=1∞, about the boundedness and essential norm estimation for the products of differentiation and composition operators… Click to show full abstract
In this paper, we present the new characterizations, in terms of the sequence $$\{z^j\}_{j=1}^\infty $${zj}j=1∞, about the boundedness and essential norm estimation for the products of differentiation and composition operators from logarithmic Bloch spaces to $$\mu $$μ-Bloch spaces on the unit disk. Then our main results are applied to show the boundedness of a non-trivial product operator $$C_\varphi D^m$$CφDm with $$\varphi (z)=z^2$$φ(z)=z2.
Keywords:
differentiation composition;
bloch spaces;
products differentiation;
operators logarithmic;
composition operators;
logarithmic bloch
Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2019
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Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2019
Link to full text (if available)
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recommendations!