Authors: | Krantz, Steven Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On the iterated logarithmic Bloch space on the unit ball | Journal: | Nonlinear Analysis, Theory, Methods and Applications | Volume: | 71 | Issue: | 5-6 | First page: | 1772 | Last page: | 1795 | Issue Date: | 1-Sep-2009 | Rank: | M21a | ISSN: | 0362-546X | DOI: | 10.1016/j.na.2009.01.013 | Abstract: | We introduce a new space of analytic functions on the unit ball, the so-called iterated logarithmic Bloch space Blogk, and study some of its properties. Among other features, we study the boundedness and compactness of weighted composition operators on the unit disk, as well as of a recently introduced integral-type operator on the unit ball, with (i) domain the iterated logarithmic Bloch space Blogk, or the little iterated logarithmic Bloch space Blogk, 0 and (ii) range the Bloch-type space Bμ, or the little-Bloch-type space Bμ, 0, or the weighted space Hμ∞, or the little weighted space Hμ, 0∞. |
Keywords: | Boundedness | Compactness | Integral-type operator | Iterated logarithmic Bloch space | Weighted composition operator | Weighted-type space | Publisher: | Elsevier |
Show full item record
SCOPUSTM
Citations
95
checked on Sep 18, 2024
Page view(s)
11
checked on Sep 19, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.