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http://dx.doi.org/10.14403/jcms.2010.23.3.523

ON DUALITY OF WEIGHTED BLOCH SPACES IN ℂn  

Yang, Gye Tak (Department of Information Security Konyang University)
Choi, Ki Seong (Department of Information Security Konyang University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 523-534 More about this Journal
Abstract
In this paper, we consider the weighted Bloch spaces ${\mathcal{B}}_q$(q > 0) on the open unit ball in ${\mathbb{C}}^n$. We prove a certain integral representation theorem that is used to determine the degree of growth of the functions in the space ${\mathcal{B}}_q$ for q > 0. This means that for each q > 0, the Banach dual of $L_a^1$ is ${\mathcal{B}}_q$ and the Banach dual of ${\mathcal{B}}_{q,0}$ is $L_a^1$ for each $q{\geq}1$.
Keywords
Bergman metric; weighted Bloch spaces; Besov space; Banach duality;
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Times Cited By KSCI : 4  (Citation Analysis)
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