## Abstract and Applied Analysis

### Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to ${H}_{\mu }^{\infty }$

Shanli Ye

#### Abstract

In this note we express the norm of composition followed by differentiation $D{C}_{\phi }$ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space ${H}_{\mu }^{\infty }$ on the unit disk and give an upper and a lower bound for the essential norm of this operator from the logarithmic Bloch space to ${H}_{\mu }^{\infty }$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 725145, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412276996

Digital Object Identifier
doi:10.1155/2014/725145

Mathematical Reviews number (MathSciNet)
MR3212446

Zentralblatt MATH identifier
07022955

#### Citation

Ye, Shanli. Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to ${H}_{\mu }^{\infty }$. Abstr. Appl. Anal. 2014 (2014), Article ID 725145, 6 pages. doi:10.1155/2014/725145. https://projecteuclid.org/euclid.aaa/1412276996

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