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Ye, Shanli

Norm and essential norm of composition followed by differentiation from logarithmic Bloch spaces to \(H_\mu^\infty\). (English) Zbl 1473.47012

Abstr. Appl. Anal. 2014, Article ID 725145, 6 p. (2014).
Summary: In this note we express the norm of composition followed by differentiation \(D C_\varphi\) 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 \(H_\mu^\infty\).

Cited in 2 Documents

MSC:

47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
30H30 Bloch spaces
30H10 Hardy spaces

Keywords:

composition followed by differentiation; essential norm; logarithmic Bloch
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References:

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