Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 45, Issue 17, Pages 11905-11915Publisher
WILEY
DOI: 10.1002/mma.8487
Keywords
Bloch-type space; essential norm; integral-type operator; logarithmic Bloch space; operator norm; unit ball
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In this paper, we calculate the norm and essential norm of an integral-type operator from the logarithmic Bloch space and the little logarithmic Bloch space to Bloch-type spaces. We show that there is a one-parameter class of equivalent norms on the logarithmic Bloch space for which the norms can be calculated.
We calculate norm and essential norm of an integral-type operator from the logarithmic Bloch space and the little logarithmic Bloch space to Bloch-type spaces on the unit ball of C. We show that there is a one-parameter class of equivalent norms on the logarithmic Bloch space for which the norms can be calculated.
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